Files
ziffers-python/ziffers/scale.py

1523 lines
38 KiB
Python

#!/usr/bin/env python3
SCALES = {
"Minoric": 444,
"Thaptic": 4341,
"Lothic": 3414,
"Phratic": 4143,
"Aerathic": 1434,
"Epathic": 4323,
"Mynic": 3234,
"Rothic": 2343,
"Eporic": 3432,
"Zyphic": 4431,
"Epogic": 4314,
"Lanic": 3144,
"Pyrric": 1443,
"Aeoloric": 4413,
"Gonic": 4134,
"Dalic": 1344,
"Dygic": 3441,
"Daric": 4332,
"Lonic": 3324,
"Phradic": 3243,
"Bolic": 2433,
"Saric": 4233,
"Zoptic": 2334,
"Aeraphic": 3342,
"Byptic": 3423,
"Aeolic": 4422,
"Koptic": 4224,
"Mixolyric": 2244,
"Lydic": 2442,
"Stathic": 4242,
"Dadic": 2424,
"Phrynic": 3333,
"Epathitonic": 32322,
"Mynitonic": 23223,
"Rocritonic": 32232,
"Pentatonic": 22323,
"Thaptitonic": 23232,
"Magitonic": 43221,
"Daditonic": 32214,
"Aeolyphritonic": 22143,
"Gycritonic": 21432,
"Pyritonic": 14322,
"Gathitonic": 42321,
"Ionitonic": 23214,
"Phrynitonic": 32142,
"Stathitonic": 21423,
"Thalitonic": 14232,
"Zolitonic": 42141,
"Epogitonic": 21414,
"Lanitonic": 14142,
"Paptitonic": 41421,
"Ionacritonic": 14214,
"Phraditonic": 41412,
"Aeoloritonic": 14124,
"Gonitonic": 41241,
"Dalitonic": 12414,
"Dygitonic": 24141,
"Aeracritonic": 41232,
"Byptitonic": 12324,
"Daritonic": 23241,
"Lonitonic": 32412,
"Ionycritonic": 24123,
"Lothitonic": 41223,
"Phratonic": 12234,
"Aerathitonic": 22341,
"Saritonic": 23412,
"Zoptitonic": 34122,
"Dolitonic": 44121,
"Poritonic": 41214,
"Aerylitonic": 12144,
"Zagitonic": 21441,
"Lagitonic": 14412,
"Molitonic": 43311,
"Staptitonic": 33114,
"Mothitonic": 31143,
"Aeritonic": 11433,
"Ragitonic": 14331,
"Ionaditonic": 43212,
"Bocritonic": 32124,
"Gythitonic": 21243,
"Pagitonic": 12432,
"Aeolythitonic": 24321,
"Zacritonic": 43131,
"Laritonic": 31314,
"Thacritonic": 13143,
"Styditonic": 31431,
"Loritonic": 14313,
"Aeolyritonic": 43113,
"Goritonic": 31134,
"Aeoloditonic": 11343,
"Doptitonic": 13431,
"Aeraphitonic": 34311,
"Zathitonic": 42411,
"Raditonic": 24114,
"Stonitonic": 41142,
"Syptitonic": 11424,
"Ionythitonic": 14241,
"Aeolanitonic": 42231,
"Danitonic": 22314,
"Ionaritonic": 23142,
"Dynitonic": 31422,
"Zyditonic": 14223,
"Aeolacritonic": 42123,
"Zythitonic": 21234,
"Dyritonic": 12342,
"Koptitonic": 23421,
"Thocritonic": 34212,
"Lycritonic": 41331,
"Daptitonic": 13314,
"Kygitonic": 33141,
"Mocritonic": 31413,
"Zynitonic": 14133,
"Epygitonic": 41322,
"Zaptitonic": 13224,
"Kagitonic": 32241,
"Zogitonic": 22413,
"Epyritonic": 24132,
"Zothitonic": 41313,
"Phrolitonic": 13134,
"Ionagitonic": 31341,
"Aeolapritonic": 13413,
"Kyritonic": 34131,
"Ionyptitonic": 41133,
"Gyritonic": 11334,
"Zalitonic": 13341,
"Stolitonic": 33411,
"Bylitonic": 34113,
"Thoditonic": 33231,
"Dogitonic": 32313,
"Phralitonic": 23133,
"Garitonic": 31332,
"Soptitonic": 13323,
"Kataritonic": 33222,
"Sylitonic": 32223,
"Thonitonic": 22233,
"Phropitonic": 22332,
"Staditonic": 23322,
"Lyditonic": 33132,
"Mythitonic": 31323,
"Sogitonic": 13233,
"Gothitonic": 32331,
"Rothitonic": 23313,
"Zylitonic": 44211,
"Zoditonic": 42114,
"Zaritonic": 21144,
"Phrythitonic": 11442,
"Rolitonic": 14421,
"Ranitonic": 44112,
"Laditonic": 41124,
"Poditonic": 11244,
"Ionothitonic": 12441,
"Kanitonic": 24411,
"Ryphitonic": 43122,
"Gylitonic": 31224,
"Aeolycritonic": 12243,
"Pynitonic": 22431,
"Zanitonic": 24312,
"Phronitonic": 42312,
"Banitonic": 23124,
"Aeronitonic": 31242,
"Golitonic": 12423,
"Dyptitonic": 24231,
"Aerynitonic": 42213,
"Palitonic": 22134,
"Stothitonic": 21342,
"Aerophitonic": 13422,
"Katagitonic": 34221,
"Ionoditonic": 42132,
"Bogitonic": 21324,
"Mogitonic": 13242,
"Docritonic": 32421,
"Epaditonic": 24213,
"Mixitonic": 33321,
"Phrothitonic": 33213,
"Katycritonic": 32133,
"Ionalitonic": 21333,
"Loptitonic": 13332,
"Thyritonic": 33312,
"Thoptitonic": 33123,
"Bycritonic": 31233,
"Pathitonic": 12333,
"Myditonic": 23331,
"Bolitonic": 42222,
"Bothitonic": 22224,
"Kataditonic": 22242,
"Koditonic": 22422,
"Tholitonic": 24222,
"Epathimic": 322122,
"Mynimic": 221223,
"Rocrimic": 212232,
"Eporimic": 122322,
"Thaptimic": 223221,
"Lothimic": 232212,
"Dyrimic": 421221,
"Koptimic": 212214,
"Thocrimic": 122142,
"Aeolanimic": 221421,
"Danimic": 214212,
"Ionarimic": 142122,
"Daptimic": 414111,
"Kygimic": 141114,
"Mocrimic": 411141,
"Zynimic": 111414,
"Aeolimic": 114141,
"Zythimic": 141411,
"Epygimic": 412311,
"Zaptimic": 123114,
"Kagimic": 231141,
"Zogimic": 311412,
"Epyrimic": 114123,
"Lycrimic": 141231,
"Bylimic": 412221,
"Zothimic": 122214,
"Phrolimic": 222141,
"Ionagimic": 221412,
"Aeolaphimic": 214122,
"Kycrimic": 141222,
"Garimic": 412212,
"Soptimic": 122124,
"Ionyptimic": 221241,
"Gyrimic": 212412,
"Zalimic": 124122,
"Stolimic": 241221,
"Thonimic": 411411,
"Stadimic": 114114,
"Thodimic": 141141,
"Mythimic": 411321,
"Sogimic": 113214,
"Gogimic": 132141,
"Rothimic": 321411,
"Katarimic": 214113,
"Sylimic": 141132,
"Mixolimic": 323211,
"Dadimic": 232113,
"Aeolyphimic": 321132,
"Gycrimic": 211323,
"Pyrimic": 113232,
"Lydimic": 132321,
"Ionacrimic": 323112,
"Gathimic": 231123,
"Ionynimic": 311232,
"Phrynimic": 112323,
"Stathimic": 123231,
"Thatimic": 232311,
"Dalimic": 322311,
"Dygimic": 223113,
"Zolimic": 231132,
"Epogimic": 311322,
"Lanimic": 113223,
"Paptimic": 132231,
"Darmic": 322212,
"Lonimic": 222123,
"Ionycrimic": 221232,
"Phradimic": 212322,
"Aeolorimic": 123222,
"Gonimic": 232221,
"Phracrimic": 321222,
"Aerathimic": 212223,
"Sarimic": 122232,
"Zoptimic": 222321,
"Zeracrimic": 223212,
"Byptimic": 232122,
"Starimic": 432111,
"Phrathimic": 321114,
"Saptimic": 211143,
"Aerodimic": 111432,
"Macrimic": 114321,
"Rogimic": 143211,
"Bygimic": 431121,
"Thycrimic": 311214,
"Aeoladimic": 112143,
"Dylimic": 121431,
"Eponimic": 214311,
"Katygimic": 143112,
"Stalimic": 423111,
"Stoptimic": 231114,
"Zygimic": 311142,
"Kataptimic": 111423,
"Aeolaptimic": 114231,
"Pothimic": 142311,
"Rycrimic": 422121,
"Ronimic": 221214,
"Stycrimic": 212142,
"Katorimic": 121422,
"Epythimic": 214221,
"Kaptimic": 142212,
"Katythimic": 421311,
"Madimic": 213114,
"Aerygimic": 131142,
"Pylimic": 311421,
"Ionathimic": 114213,
"Morimic": 142131,
"Aerycrimic": 421131,
"Ganimic": 211314,
"Eparimic": 113142,
"Lyrimic": 131421,
"Phraptimic": 314211,
"Bacrimic": 142113,
"Phralimic": 413211,
"Phrogimic": 132114,
"Rathimic": 321141,
"Katocrimic": 211413,
"Phryptimic": 114132,
"Katynimic": 141321,
"Solimic": 413121,
"Ionolimic": 131214,
"Ionophimic": 312141,
"Aeologimic": 121413,
"Zadimic": 214131,
"Sygimic": 141312,
"Thogimic": 413112,
"Rythimic": 131124,
"Donimic": 311241,
"Aeoloptimic": 112413,
"Panimic": 124131,
"Lodimic": 241311,
"Laptimic": 412131,
"Lygimic": 121314,
"Logimic": 213141,
"Lalimic": 131412,
"Sothimic": 314121,
"Phrocrimic": 141213,
"Modimic": 412122,
"Barimic": 121224,
"Poptimic": 212241,
"Sagimic": 122412,
"Aelothimic": 224121,
"Socrimic": 241212,
"Syrimic": 412113,
"Stodimic": 121134,
"Ionocrimic": 211341,
"Zycrimic": 113412,
"Ionygimic": 134121,
"Katathimic": 341211,
"Bolimic": 411312,
"Bothimic": 113124,
"Katadimic": 131241,
"Kodimic": 312411,
"Tholimic": 124113,
"Ralimic": 241131,
"Kanimic": 411231,
"Zylimic": 112314,
"Zodimic": 123141,
"Zarimic": 231411,
"Phrythimic": 314112,
"Rorimic": 141123,
"Pynimic": 411132,
"Zanimic": 111324,
"Ranimic": 113241,
"Ladimic": 132411,
"Podimic": 324111,
"Ionothimic": 241113,
"Kytrimic": 411123,
"Golimic": 111234,
"Dyptimic": 112341,
"Ryrimic": 123411,
"Gylimic": 234111,
"Aeolycrimic": 341112,
"Palimic": 332211,
"Stothimic": 322113,
"Aeronimic": 221133,
"Katagimic": 211332,
"Phronimic": 113322,
"Banimic": 133221,
"Ionodimic": 331311,
"Bogimic": 313113,
"Mogimic": 131133,
"Docrimic": 311331,
"Epadimic": 113313,
"Aerynimic": 133131,
"Mydimic": 331131,
"Thyptimic": 311313,
"Phrothimic": 113133,
"Katycrimic": 131331,
"Ionalimic": 313311,
"Loptimic": 133113,
"Zagimic": 331122,
"Lagimic": 311223,
"Thyrimic": 112233,
"Thothimic": 122331,
"Bycrimic": 223311,
"Pathimic": 233112,
"Mothimic": 322131,
"Aeranimic": 221313,
"Ragimic": 213132,
"Dolimic": 131322,
"Porimic": 313221,
"Aerylimic": 132213,
"Bocrimic": 321312,
"Gythimic": 213123,
"Pagimic": 131232,
"Aeolythimic": 312321,
"Molimic": 123213,
"Staptimic": 232131,
"Zacrimic": 321231,
"Larimic": 212313,
"Thacrimic": 123132,
"Stydimic": 231321,
"Lorimic": 313212,
"Ionadimic": 132123,
"Ionythimic": 313131,
"Aerythimic": 131313,
"Dynimic": 313122,
"Zydimic": 131223,
"Zathimic": 312231,
"Radimic": 122313,
"Stonimic": 223131,
"Syptimic": 231312,
"Ponimic": 441111,
"Kadimic": 411114,
"Gynimic": 111144,
"Thydimic": 111441,
"Polimic": 114411,
"Thanimic": 144111,
"Lathimic": 431211,
"Aeralimic": 312114,
"Kynimic": 121143,
"Stynimic": 211431,
"Epytimic": 114312,
"Katoptimic": 143121,
"Galimic": 431112,
"Kathimic": 311124,
"Lylimic": 111243,
"Epalimic": 112431,
"Epacrimic": 124311,
"Sathimic": 243111,
"Katanimic": 422211,
"Katyrimic": 222114,
"Rynimic": 221142,
"Pogimic": 211422,
"Aeraptimic": 114222,
"Epylimic": 142221,
"Manimic": 421212,
"Marimic": 212124,
"Locrimic": 121242,
"Rylimic": 212421,
"Epatimic": 124212,
"Byrimic": 242121,
"Kocrimic": 421113,
"Korimic": 211134,
"Lynimic": 111342,
"Malimic": 113421,
"Synimic": 134211,
"Phragimic": 342111,
"Mycrimic": 411222,
"Ionorimic": 112224,
"Phrydimic": 122241,
"Zyptimic": 222411,
"Katothimic": 224112,
"Phrylimic": 241122,
"Aerothimic": 411213,
"Stagimic": 112134,
"Dorimic": 121341,
"Phrycrimic": 213411,
"Kyptimic": 134112,
"Ionylimic": 341121,
"Epynimic": 333111,
"Ionogimic": 331113,
"Kydimic": 311133,
"Gaptimic": 111333,
"Tharimic": 113331,
"Ionaphimic": 133311,
"Thoptimic": 332121,
"Bagimic": 321213,
"Kyrimic": 212133,
"Sonimic": 121332,
"Aeolonimic": 213321,
"Rygimic": 133212,
"Thagimic": 332112,
"Kolimic": 321123,
"Dycrimic": 211233,
"Epycrimic": 112332,
"Gocrimic": 123321,
"Katolimic": 233211,
"Dagimic": 331221,
"Aeolydimic": 312213,
"Parimic": 122133,
"Ionaptimic": 221331,
"Thylimic": 213312,
"Lolimic": 133122,
"Thalimic": 331212,
"Stygimic": 312123,
"Aeolygimic": 121233,
"Aerogimic": 212331,
"Dacrimic": 123312,
"Baptimic": 233121,
"Stythimic": 323121,
"Kothimic": 231213,
"Pygimic": 312132,
"Rodimic": 121323,
"Sorimic": 213231,
"Monimic": 132312,
"Aeragimic": 322221,
"Epothimic": 222213,
"Salimic": 222132,
"Lyptimic": 221322,
"Katonimic": 213222,
"Gygimic": 132222,
"Aeradimic": 321321,
"Zyrimic": 213213,
"Stylimic": 132132,
"Lythimic": 312312,
"Dodimic": 123123,
"Katalimic": 231231,
"Boptimic": 312222,
"Stogimic": 122223,
"Thynimic": 222231,
"Aeolathimic": 222312,
"Bythimic": 223122,
"Padimic": 231222,
"Dathimic": 422112,
"Epagimic": 221124,
"Raptimic": 211242,
"Epolimic": 112422,
"Sythimic": 124221,
"Sydimic": 242211,
"Gacrimic": 421122,
"Borimic": 211224,
"Sycrimic": 112242,
"Gadimic": 122421,
"Aeolocrimic": 224211,
"Phrygimic": 242112,
"WholeTone": 222222,
"Lydian": 2221221,
"Mixolydian": 2212212,
"Aeolian": 2122122,
"Locrian": 1221222,
"Ionian": 2212221,
"Dorian": 2122212,
"Phrygian": 1222122,
"Ionythian": 4122111,
"Aeolyrian": 1221114,
"Gorian": 2211141,
"Aeolodian": 2111412,
"Doptian": 1114122,
"Aeraphian": 1141221,
"Zacrian": 1412211,
"Ionarian": 4113111,
"Dynian": 1131114,
"Zydian": 1311141,
"Zathian": 3111411,
"Radian": 1114113,
"Stonian": 1141131,
"Syptian": 1411311,
"Aeolacrian": 4111311,
"Zythian": 1113114,
"Dyrian": 1131141,
"Koptian": 1311411,
"Thocrian": 3114111,
"Aeolanian": 1141113,
"Danian": 1411131,
"Zogian": 4111221,
"Epyrian": 1112214,
"Lycrian": 1122141,
"Daptian": 1221411,
"Kygian": 2214111,
"Mocrian": 2141112,
"Zynian": 1411122,
"Phrolian": 3221211,
"Ionagian": 2212113,
"Aeodian": 2121132,
"Kycrian": 1211322,
"Epygian": 2113221,
"Zaptian": 1132212,
"Kagian": 1322121,
"Soptian": 3221112,
"Ionyptian": 2211123,
"Gyrian": 2111232,
"Zalian": 1112322,
"Stolian": 1123221,
"Bylian": 1232211,
"Zothian": 2322111,
"Thonian": 3212211,
"Phrorian": 2122113,
"Stadian": 1221132,
"Thodian": 2211321,
"Dogian": 2113212,
"Mixopyrian": 1132122,
"Garian": 1321221,
"Epathian": 3211311,
"Mythian": 2113113,
"Sogian": 1131132,
"Gogian": 1311321,
"Rothian": 3113211,
"Katarian": 1132113,
"Stylian": 1321131,
"Stathian": 3211122,
"Mixonyphian": 2111223,
"Magian": 1112232,
"Dadian": 1122321,
"Aeolylian": 1223211,
"Gycrian": 2232111,
"Pyrian": 2321112,
"Epogian": 3113112,
"Lanian": 1131123,
"Paptian": 1311231,
"Ionacrian": 3112311,
"Gathian": 1123113,
"Ionyphian": 1231131,
"Phrynian": 2311311,
"Ionycrian": 3112212,
"Phradian": 1122123,
"Aeolorian": 1221231,
"Gonian": 2212311,
"Dalian": 2123112,
"Dygian": 1231122,
"Zolian": 2311221,
"Aerathian": 3112122,
"Sarian": 1121223,
"Zoptian": 1212231,
"Aeracrian": 2122311,
"Byptian": 1223112,
"Darian": 2231121,
"Lonian": 2311212,
"Aeopian": 4212111,
"Rygian": 2121114,
"Epynian": 1211142,
"Ionogian": 2111421,
"Kydian": 1114212,
"Gaptian": 1142121,
"Tharian": 1421211,
"Epycrian": 4211121,
"Gocrian": 2111214,
"Katolian": 1112142,
"Thoptian": 1121421,
"Bagian": 1214211,
"Kyrian": 2142111,
"Sonian": 1421112,
"Parian": 4131111,
"Ionaptian": 1311114,
"Thylian": 3111141,
"Lolian": 1111413,
"Thagian": 1114131,
"Kolian": 1141311,
"Dycrian": 1413111,
"Stygian": 4121211,
"Aeolygian": 1212114,
"Aerogian": 2121141,
"Dacrian": 1211412,
"Baptian": 2114121,
"Dagian": 1141212,
"Aeolydian": 1412121,
"Stythian": 4121121,
"Kothian": 1211214,
"Pygian": 2112141,
"Rodian": 1121412,
"Sorian": 1214121,
"Monian": 2141211,
"Thalian": 1412112,
"Zorian": 4121112,
"Aeragian": 1211124,
"Epothian": 2111241,
"Salian": 1112412,
"Lyptian": 1124121,
"Katonian": 1241211,
"Gyphian": 2412111,
"Thacrian": 4112211,
"Dodian": 1122114,
"Aeolyptian": 1221141,
"Aeolonian": 2211411,
"Aeradian": 2114112,
"Aeolagian": 1141122,
"Zyrian": 1411221,
"Aeolathian": 4112121,
"Bythian": 1121214,
"Padian": 1212141,
"Rolian": 2121411,
"Pydian": 1214112,
"Thygian": 2141121,
"Katalian": 1411212,
"Saptian": 4111212,
"Aerodian": 1112124,
"Macrian": 1121241,
"Rogian": 1212411,
"Boptian": 2124111,
"Stogian": 1241112,
"Thynian": 2411121,
"Thycrian": 4111131,
"Aeoladian": 1111314,
"Dylian": 1113141,
"Eponian": 1131411,
"Katygian": 1314111,
"Starian": 3141111,
"Phrathian": 1411113,
"Stalian": 3311211,
"Stoptian": 3112113,
"Zygian": 1121133,
"Kataptian": 1211331,
"Aeolaptian": 2113311,
"Pothian": 1133112,
"Bygian": 1331121,
"Morian": 3231111,
"Rycrian": 2311113,
"Ronian": 3111132,
"Stycrian": 1111323,
"Katorian": 1113231,
"Epythian": 1132311,
"Kaptian": 1323111,
"Phraptian": 3222111,
"Bacrian": 2221113,
"Katythian": 2211132,
"Madian": 2111322,
"Aerygian": 1113222,
"Pylian": 1132221,
"Ionathian": 1322211,
"Katocrian": 3213111,
"Phryptian": 2131113,
"Katynian": 1311132,
"Aerycrian": 3111321,
"Ganian": 1113213,
"Eparian": 1132131,
"Lyrian": 1321311,
"Ionopian": 3212112,
"Aeologian": 2121123,
"Zadian": 1211232,
"Sygian": 2112321,
"Phralian": 1123212,
"Phrogian": 1232121,
"Rathian": 2321211,
"Rythian": 3211212,
"Donian": 2112123,
"Aeoloptian": 1121232,
"Panian": 1212321,
"Lodian": 2123211,
"Solian": 1232112,
"Ionolian": 2321121,
"Laptian": 3211131,
"Lygian": 2111313,
"Logian": 1113132,
"Lalian": 1131321,
"Sothian": 1313211,
"Phrocrian": 3132111,
"Thogian": 1321113,
"Katathian": 3131211,
"Modian": 1312113,
"Barian": 3121131,
"Mixolocrian": 1211313,
"Sagian": 2113131,
"Aeolothian": 1131312,
"Socrian": 1313121,
"Tholian": 3131121,
"Ralian": 1311213,
"Syrian": 3112131,
"Stodian": 1121313,
"Ionocrian": 1213131,
"Zycrian": 2131311,
"Ionygian": 1313112,
"Zarian": 3131112,
"Phrythian": 1311123,
"Rorian": 3111231,
"Bolian": 1112313,
"Bothian": 1123131,
"Katadian": 1231311,
"Kodian": 2313111,
"Ranian": 3123111,
"Ladian": 1231113,
"Podian": 2311131,
"Ionothian": 3111312,
"Kanian": 1113123,
"Zylian": 1131231,
"Zodian": 1312311,
"Golian": 3122211,
"Dyptian": 1222113,
"Ryphian": 2221131,
"Gylian": 2211312,
"Aeolycrian": 2113122,
"Pynian": 1131222,
"Zanian": 1312221,
"Palian": 3122121,
"Stothian": 1221213,
"Aerorian": 2212131,
"Katagian": 2121312,
"Phronian": 1213122,
"Banian": 2131221,
"Aeronian": 1312212,
"Loptian": 3121311,
"Ionodian": 1213113,
"Bogian": 2131131,
"Mogian": 1311312,
"Docrian": 3113121,
"Epadian": 1131213,
"Aerynian": 1312131,
"Bycrian": 3121221,
"Pathian": 1212213,
"Mydian": 2122131,
"Thyptian": 1221312,
"Phrothian": 2213121,
"Katycrian": 2131212,
"Ionalian": 1312122,
"Dolian": 3112221,
"Porian": 1122213,
"Aerylian": 1222131,
"Zagian": 2221311,
"Lagian": 2213112,
"Tyrian": 2131122,
"Mixonorian": 1311222,
"Pagian": 3111222,
"Aeolythian": 1112223,
"Molian": 1122231,
"Staptian": 1222311,
"Mothian": 2223111,
"Aeranian": 2231112,
"Ragian": 2311122,
"Larian": 2222121,
"Lythian": 2221212,
"Stydian": 2212122,
"Lorian": 2121222,
"Ionadian": 1212222,
"Bocrian": 2122221,
"Mixolythian": 1222212,
"Thadian": 4311111,
"Sanian": 3111114,
"Ionydian": 1111143,
"Epydian": 1111431,
"Katydian": 1114311,
"Mathian": 1143111,
"Aeryptian": 1431111,
"Pythian": 4221111,
"Katylian": 2211114,
"Bydian": 2111142,
"Bynian": 1111422,
"Galian": 1114221,
"Zonian": 1142211,
"Myrian": 1422111,
"Katogian": 4211211,
"Stacrian": 2112114,
"Styrian": 1121142,
"Ionyrian": 1211421,
"Phrodian": 2114211,
"Pycrian": 1142112,
"Gyptian": 1421121,
"Katacrian": 4112112,
"Sodian": 1121124,
"Bathian": 1211241,
"Mylian": 2112411,
"Godian": 1124112,
"Thorian": 1241121,
"Zocrian": 2411211,
"Stanian": 4111122,
"Epanian": 1111224,
"Konian": 1112241,
"Stocrian": 1122411,
"Kalian": 1224111,
"Phroptian": 2241111,
"Dydian": 2411112,
"Katyptian": 4111113,
"Epodian": 1111134,
"Mygian": 1111341,
"Pacrian": 1113411,
"Aerocrian": 1134111,
"Aeolarian": 1341111,
"Kythian": 3411111,
"Bonian": 3321111,
"Badian": 3211113,
"Katodian": 2111133,
"Sadian": 1111332,
"Dothian": 1113321,
"Moptian": 1133211,
"Aeryrian": 1332111,
"Epagian": 3312111,
"Raptian": 3121113,
"Epolian": 1211133,
"Sythian": 2111331,
"Sydian": 1113312,
"Epocrian": 1133121,
"Kylian": 1331211,
"Gacrian": 3311121,
"Borian": 3111213,
"Sycrian": 1112133,
"Gadian": 1121331,
"Aeolocrian": 1213311,
"Mixodorian": 2133111,
"Dathian": 1331112,
"Katoptian": 3311112,
"Ponian": 3111123,
"Kadian": 1111233,
"Gynian": 1112331,
"Thyphian": 1123311,
"Polian": 1233111,
"Thanian": 2331111,
"Epacrian": 3221121,
"Sathian": 2211213,
"Lathian": 2112132,
"Aeralian": 1121322,
"Kynian": 1213221,
"Stynian": 2132211,
"Epyphian": 1322112,
"Pogian": 3212121,
"Aeraptian": 2121213,
"Epylian": 1212132,
"Gamian": 2121321,
"Kathian": 1213212,
"Lylian": 2132121,
"Epalian": 1321212,
"Eporian": 3211221,
"Rylian": 2112213,
"Epaptian": 1122132,
"Byrian": 1221321,
"Katanian": 2213211,
"Katyrian": 2132112,
"Rynian": 1321122,
"Korian": 3122112,
"Lynian": 1221123,
"Malian": 2211231,
"Synian": 2112312,
"Phragian": 1123122,
"Manian": 1231221,
"Marian": 2312211,
"Mycrian": 3121212,
"Ionorian": 1212123,
"Phrydian": 2121231,
"Zyptian": 1212312,
"Katothian": 2123121,
"Phrylian": 1231212,
"Kocrian": 2312121,
"Ionanian": 3121122,
"Aerothian": 1211223,
"Stagian": 2112231,
"Lothian": 1122312,
"Phrycrian": 1223121,
"Kyptian": 2231211,
"Ionylian": 2312112,
"Gydian": 4211112,
"Kogian": 2111124,
"Rarian": 1111242,
"Aerolian": 1112421,
"Karian": 1124211,
"Myptian": 1242111,
"Rydian": 2421111,
"Aeolynian": 2222211,
"Aeroptian": 2222112,
"Phryrian": 2221122,
"Gothian": 2211222,
"Storian": 2112222,
"Pyptian": 1122222,
"Thydian": 1222221,
"Aerycryllic": 22122111,
"Gadyllic": 21221112,
"Solyllic": 12211122,
"Zylyllic": 22111221,
"Mixodyllic": 21112212,
"Soryllic": 11122122,
"Godyllic": 11221221,
"Epiphyllic": 12212211,
"Pynyllic": 41112111,
"Bocryllic": 11121114,
"Kogyllic": 11211141,
"Raryllic": 12111411,
"Zycryllic": 21114111,
"Mycryllic": 11141112,
"Laptyllic": 11411121,
"Pylyllic": 14111211,
"Pothyllic": 32111211,
"Phronyllic": 21112113,
"Stynyllic": 11121132,
"Rathyllic": 11211321,
"Aeryptyllic": 12113211,
"Zydyllic": 21132111,
"Katolyllic": 11321112,
"Rythyllic": 13211121,
"Locryllic": 31131111,
"Bylyllic": 11311113,
"Sogyllic": 13111131,
"Ionycryllic": 31111311,
"Koptyllic": 11113113,
"Epyryllic": 11131131,
"Soptyllic": 11311311,
"Aeolylyllic": 13113111,
"Aeracryllic": 31122111,
"Epygyllic": 11221113,
"Thonyllic": 12211131,
"Lanyllic": 22111311,
"Phrynyllic": 21113112,
"Lycryllic": 11131122,
"Ionyptyllic": 11311221,
"Epathyllic": 13112211,
"Dydyllic": 31121211,
"Thogyllic": 11212113,
"Rygyllic": 12121131,
"Bycryllic": 21211311,
"Zacryllic": 12113112,
"Panyllic": 21131121,
"Dyryllic": 11311212,
"Zathyllic": 13112121,
"Dagyllic": 31121112,
"Katalyllic": 11211123,
"Katoryllic": 12111231,
"Dodyllic": 21112311,
"Zogyllic": 11123112,
"Madyllic": 11231121,
"Dycryllic": 12311211,
"Aeologyllic": 23112111,
"Sydyllic": 31113111,
"Katogyllic": 11131113,
"Zygyllic": 11311131,
"Aeralyllic": 13111311,
"Bacryllic": 31112211,
"Aerygyllic": 11122113,
"Dathyllic": 11221131,
"Boptyllic": 12211311,
"Bagyllic": 22113111,
"Mathyllic": 21131112,
"Styptyllic": 11311122,
"Zolyllic": 13111221,
"Rocryllic": 22212111,
"Zyryllic": 22121112,
"Sagyllic": 21211122,
"Epinyllic": 12111222,
"Katagyllic": 21112221,
"Ragyllic": 11122212,
"Gothyllic": 11222121,
"Lythyllic": 12221211,
"Ionocryllic": 22211121,
"Gocryllic": 22111212,
"Epiryllic": 21112122,
"Aeradyllic": 11121222,
"Staptyllic": 11212221,
"Danyllic": 12122211,
"Goptyllic": 21222111,
"Epocryllic": 12221112,
"Ionoptyllic": 22121121,
"Aeoloryllic": 21211212,
"Thydyllic": 12112122,
"Gycryllic": 21121221,
"Lyryllic": 11212212,
"Mogyllic": 12122121,
"Katodyllic": 21221211,
"Moptyllic": 12212112,
"Dolyllic": 41211111,
"Moryllic": 12111114,
"Bydyllic": 21111141,
"Pocryllic": 11111412,
"Phracryllic": 11114121,
"Gyryllic": 11141211,
"Phrygyllic": 11412111,
"Dogyllic": 14121111,
"Thagyllic": 41121111,
"Thoptyllic": 11211114,
"Phraptyllic": 12111141,
"Gylyllic": 21111411,
"Phralyllic": 11114112,
"Dygyllic": 11141121,
"Ronyllic": 11411211,
"Epogyllic": 14112111,
"Aeoladyllic": 41111211,
"Kocryllic": 11112114,
"Lodyllic": 11121141,
"Bynyllic": 11211411,
"Kydyllic": 12114111,
"Bygyllic": 21141111,
"Phryptyllic": 11411112,
"Ionayllic": 14111121,
"Phroryllic": 41111121,
"Thyphyllic": 11111214,
"Poptyllic": 11112141,
"Mixonyllic": 11121411,
"Paptyllic": 11214111,
"Storyllic": 12141111,
"Phrycryllic": 21411111,
"Palyllic": 14111112,
"Phranyllic": 32211111,
"Stydyllic": 22111113,
"Zadyllic": 21111132,
"Zalyllic": 11111322,
"Zocryllic": 11113221,
"Katocryllic": 11132211,
"Aerathyllic": 11322111,
"Stoptyllic": 13221111,
"Lydyllic": 32121111,
"Radyllic": 21211113,
"Stagyllic": 12111132,
"Ionoryllic": 21111321,
"Phrodyllic": 11113212,
"Aeragyllic": 11132121,
"Banyllic": 11321211,
"Epothyllic": 13212111,
"Zoryllic": 32112111,
"Phrolyllic": 21121113,
"Kolyllic": 11211132,
"Thodyllic": 12111321,
"Socryllic": 21113211,
"Aeolyllic": 11132112,
"Zythyllic": 11321121,
"Aeoryllic": 13211211,
"Mixolydyllic": 32111112,
"Mixonyphyllic": 21111123,
"Aeolanyllic": 11111232,
"Thocryllic": 11112321,
"Kygyllic": 11123211,
"Ionagyllic": 11232111,
"Gogyllic": 12321111,
"Phradyllic": 23211111,
"Ioniptyllic": 31311111,
"Kycryllic": 13111113,
"Aeolaptyllic": 31111131,
"Rodyllic": 11111313,
"Ionathyllic": 11113131,
"Pythyllic": 11131311,
"Zonyllic": 11313111,
"Ryryllic": 13131111,
"Aeolothyllic": 31221111,
"Ionyryllic": 12211113,
"Rydyllic": 22111131,
"Gonyllic": 21111312,
"Rolyllic": 11113122,
"Katydyllic": 11131221,
"Zyptyllic": 11312211,
"Modyllic": 13122111,
"Maptyllic": 31212111,
"Aeraptyllic": 12121113,
"Katadyllic": 21211131,
"Magyllic": 12111312,
"Phrylyllic": 21113121,
"Epigyllic": 11131212,
"Molyllic": 11312121,
"Ponyllic": 13121211,
"Thyptyllic": 31211211,
"Ionogyllic": 12112113,
"Aeolaryllic": 21121131,
"Katygyllic": 11211312,
"Ganyllic": 12113121,
"Kyptyllic": 21131211,
"Salyllic": 11312112,
"Sanyllic": 13121121,
"Doptyllic": 31211121,
"Ionilyllic": 12111213,
"Manyllic": 21112131,
"Polyllic": 11121312,
"Stanyllic": 11213121,
"Mixotharyllic": 12131211,
"Eporyllic": 21312111,
"Aerynyllic": 13121112,
"Lonyllic": 31121121,
"Sathyllic": 11211213,
"Layllic": 12112131,
"Saryllic": 21121311,
"Thacryllic": 11213112,
"Aeolynyllic": 12131121,
"Thadyllic": 21311211,
"Lynyllic": 13112112,
"Aeolathyllic": 31112121,
"Aeolocryllic": 11121213,
"Phroptyllic": 11212131,
"Kodyllic": 12121311,
"Epaptyllic": 21213111,
"Ionoyllic": 12131112,
"Gyptyllic": 21311121,
"Aerythyllic": 13111212,
"Zagyllic": 31112112,
"Epacryllic": 11121123,
"Thorcryllic": 11211231,
"Loptyllic": 12112311,
"Katylyllic": 21123111,
"Malyllic": 11231112,
"Mydyllic": 12311121,
"Thycryllic": 23111211,
"Gythyllic": 31111221,
"Pyryllic": 11112213,
"Rycryllic": 11122131,
"Phrathyllic": 11221311,
"Badyllic": 12213111,
"Phrocryllic": 22131111,
"Staryllic": 21311112,
"Zothyllic": 13111122,
"Tharyllic": 31111212,
"Sylyllic": 11112123,
"Lothyllic": 11121231,
"Daryllic": 11212311,
"Monyllic": 12123111,
"Styryllic": 21231111,
"Aeolacryllic": 12311112,
"Raptyllic": 23111121,
"Kataryllic": 31111122,
"Aerocryllic": 11111223,
"Zanyllic": 11112231,
"Aeolonyllic": 11122311,
"Aeonyllic": 11223111,
"Kyryllic": 12231111,
"Sythyllic": 22311111,
"Katycryllic": 23111112,
"Stogyllic": 22121211,
"Ionidyllic": 21212112,
"Stonyllic": 12121122,
"Stalyllic": 21211221,
"Poryllic": 12112212,
"Mocryllic": 21122121,
"Aeolyryllic": 11221212,
"Baryllic": 12212121,
"Dalyllic": 22112121,
"Ionyphyllic": 21121212,
"Zaptyllic": 11212122,
"Garyllic": 12121221,
"Gathyllic": 21212211,
"Mixopyryllic": 12122112,
"Ionacryllic": 21221121,
"Stylyllic": 12211212,
"Stycryllic": 42111111,
"Ionothyllic": 21111114,
"Mythyllic": 11111142,
"Aerylyllic": 11111421,
"Bonyllic": 11114211,
"Tholyllic": 11142111,
"Katyryllic": 11421111,
"Sadyllic": 14211111,
"Stolyllic": 41111112,
"Logyllic": 11111124,
"Dacryllic": 11111241,
"Thynyllic": 11112411,
"Gydyllic": 11124111,
"Eparyllic": 11241111,
"Dynyllic": 12411111,
"Ionyllic": 24111111,
"Zaryllic": 33111111,
"Dythyllic": 31111113,
"Ionaryllic": 11111133,
"Laryllic": 11111331,
"Kataptyllic": 11113311,
"Sonyllic": 11133111,
"Pathyllic": 11331111,
"Loryllic": 13311111,
"Aeronyllic": 32111121,
"Pycryllic": 21111213,
"Mygyllic": 11112132,
"Lylyllic": 11121321,
"Daptyllic": 11213211,
"Ioninyllic": 12132111,
"Epaphyllic": 21321111,
"Lolyllic": 13211112,
"Stacryllic": 31211112,
"Doryllic": 12111123,
"Kadyllic": 21111231,
"Rynyllic": 11112312,
"Aerogyllic": 11123121,
"Rothyllic": 11231211,
"Kagyllic": 12312111,
"Stathyllic": 23121111,
"Thyryllic": 22221111,
"Gygyllic": 22211112,
"Sodyllic": 22111122,
"Goryllic": 21111222,
"Bothyllic": 11112222,
"Gynyllic": 11122221,
"Ionaptyllic": 11222211,
"Phryryllic": 12222111,
"Racryllic": 22211211,
"Epicryllic": 22112112,
"Stygyllic": 21121122,
"Syryllic": 11211222,
"Stythyllic": 12112221,
"Aerothyllic": 21122211,
"Mixoryllic": 11222112,
"Thanyllic": 12221121,
"Roryllic": 22112211,
"Epotyllic": 21122112,
"Epidyllic": 11221122,
"Kaptyllic": 12211221,
"MajorDimin.": 21212121,
"MinorDimin.": 12121212,
"Aerycrygic": 221112111,
"Gadygic": 211121112,
"Solygic": 111211122,
"Zylygic": 112111221,
"Garygic": 121112211,
"Sorygic": 211122111,
"Godygic": 111221112,
"Epithygic": 112211121,
"Ionoptygic": 122111211,
"Kalygic": 311211111,
"Ionodygic": 112111113,
"Bythygic": 121111131,
"Epygic": 211111311,
"Marygic": 111113112,
"Gaptygic": 111131121,
"Aeroptygic": 111311211,
"Mylygic": 113112111,
"Galygic": 131121111,
"Mixolydygic": 311121111,
"Ionycrygic": 111211113,
"Zoptygic": 112111131,
"Phrygygic": 121111311,
"Locrygic": 211113111,
"Gonygic": 111131112,
"Aeracrygic": 111311121,
"Aerathygic": 113111211,
"Dorygic": 131112111,
"Dycrygic": 311112111,
"Aeolygic": 111121113,
"Dydygic": 111211131,
"Tholygic": 112111311,
"Rynygic": 121113111,
"Bycrygic": 211131111,
"Zacrygic": 111311112,
"Panygic": 113111121,
"Dyrygic": 131111211,
"Loptygic": 311111211,
"Katylygic": 111112113,
"Phradygic": 111121131,
"Mixodygic": 111211311,
"Katalygic": 112113111,
"Katorygic": 121131111,
"Dogygic": 211311111,
"Zodygic": 113111112,
"Madygic": 131111121,
"Bagygic": 221211111,
"Mathygic": 212111112,
"Styptygic": 121111122,
"Zolygic": 211111221,
"Sydygic": 111112212,
"Katygic": 111122121,
"Zyphygic": 111221211,
"Aeralygic": 112212111,
"Ryptygic": 122121111,
"Apinygic": 221111121,
"Katagygic": 211111212,
"Radygic": 111112122,
"Gothygic": 111121221,
"Lythygic": 111212211,
"Bacrygic": 112122111,
"Aerygic": 121221111,
"Dathygic": 212211111,
"Boptygic": 122111112,
"Epyrygic": 212112111,
"Aeradygic": 121121112,
"Staptygic": 211211121,
"Danygic": 112111212,
"Goptygic": 121112121,
"Epocrygic": 211121211,
"Rocrygic": 111212112,
"Zyrygic": 112121121,
"Sadygic": 121211211,
"Aeolorygic": 212111211,
"Thydygic": 121112112,
"Gycrygic": 211121121,
"Lyrygic": 111211212,
"Modygic": 112112121,
"Katodygic": 121121211,
"Moptygic": 211212111,
"Ionocrygic": 112121112,
"Gocrygic": 121211121,
"Manygic": 411111111,
"Polygic": 111111114,
"Stanygic": 111111141,
"Thaptygic": 111111411,
"Eporygic": 111114111,
"Aerynygic": 111141111,
"Thyptygic": 111411111,
"Ionogygic": 114111111,
"Aeolarygic": 141111111,
"Sathygic": 321111111,
"Ladygic": 211111113,
"Sarygic": 111111132,
"Thacrygic": 111111321,
"Aeolynygic": 111113211,
"Thadygic": 111132111,
"Lynygic": 111321111,
"Doptygic": 113211111,
"Ionilygic": 132111111,
"Phrygic": 312111111,
"Aeranygic": 121111113,
"Dothygic": 211111131,
"Lydygic": 111111312,
"Stadygic": 111113121,
"Byptygic": 111131211,
"Stodygic": 111312111,
"Zynygic": 113121111,
"Lonygic": 131211111,
"Zothygic": 311111121,
"Aeolathygic": 111111213,
"Aeolocrygic": 111112131,
"Phroptygic": 111121311,
"Kodygic": 111213111,
"Eparygic": 112131111,
"Ionygic": 121311111,
"Gyptygic": 213111111,
"Aerythygic": 131111112,
"Aeolacrygic": 311111112,
"Raptygic": 111111123,
"Gythygic": 111111231,
"Pyrygic": 111112311,
"Rycrygic": 111123111,
"Phrathygic": 111231111,
"Badygic": 112311111,
"Phrocrygic": 123111111,
"Starygic": 231111111,
"Kyrygic": 222111111,
"Sythygic": 221111112,
"Katycrygic": 211111122,
"Tharygic": 111111222,
"Sylygic": 111112221,
"Lothygic": 111122211,
"Darygic": 111222111,
"Monygic": 112221111,
"Styrygic": 122211111,
"Porygic": 221121111,
"Mocrygic": 211211112,
"Aeolyrygic": 112111122,
"Barygic": 121111221,
"Katarygic": 211112211,
"Aerocrygic": 111122112,
"Zanygic": 111221121,
"Aeolonygic": 112211211,
"Aeolanygic": 122112111,
"Kaptygic": 221111211,
"Sacrygic": 211112112,
"Padygic": 111121122,
"Epilygic": 111211221,
"Kynygic": 112112211,
"Stophygic": 121122111,
"Ionidygic": 211221111,
"Stonygic": 112211112,
"Stalygic": 122111121,
"Koptygic": 212121111,
"Raphygic": 121211112,
"Zycrygic": 212111121,
"Mycrygic": 121111212,
"Laptygic": 211112121,
"Pylygic": 111121212,
"Rodygic": 111212121,
"Epolygic": 112121211,
"Epidygic": 121212111,
"Phronygic": 211211211,
"Stynygic": 112112112,
"Zydygic": 121121121,
"Aerycryllian": 2111211111,
"Gadyllian": 1112111112,
"Solyllian": 1121111121,
"Zyphyllian": 1211111211,
"Garyllian": 2111112111,
"Soryllian": 1111121112,
"Godyllian": 1111211121,
"Epityllian": 1112111211,
"Ionyllian": 1121112111,
"Aeoryllian": 1211121111,
"Katoryllian": 3111111111,
"Dodyllian": 1111111113,
"Zogyllian": 1111111131,
"Madyllian": 1111111311,
"Dycryllian": 1111113111,
"Aeogyllian": 1111131111,
"Dydyllian": 1111311111,
"Thogyllian": 1113111111,
"Rygyllian": 1131111111,
"Bathyllian": 1311111111,
"Sydyllian": 2211111111,
"Katogyllian": 2111111112,
"Mixodyllian": 1111111122,
"Aeradyllian": 1111111221,
"Ryptyllian": 1111112211,
"Loptyllian": 1111122111,
"Kataphyllian": 1111221111,
"Phradyllian": 1112211111,
"Dagyllian": 1122111111,
"Katyllian": 1221111111,
"Gothyllian": 2121111111,
"Lythyllian": 1211111112,
"Bacryllian": 2111111121,
"Aerygyllian": 1111111212,
"Dathyllian": 1111112121,
"Boptyllian": 1111121211,
"Bagyllian": 1111212111,
"Mathyllian": 1112121111,
"Styptyllian": 1121211111,
"Zolyllian": 1212111111,
"Staptyllian": 2112111111,
"Danyllian": 1121111112,
"Goptyllian": 1211111121,
"Epocryllian": 2111111211,
"Rocryllian": 1111112112,
"Zyryllian": 1111121121,
"Sagyllian": 1111211211,
"Epinyllian": 1112112111,
"Katagyllian": 1121121111,
"Ragyllian": 1211211111,
"Thydyllian": 2111121111,
"Epiryllian": 1111211112,
"Lyryllian": 1112111121,
"Mogyllian": 1121111211,
"Katodyllian": 1211112111,
"Aerycratic": 21111111111,
"Monatic": 11111111112,
"Solatic": 11111111121,
"Zylatic": 11111111211,
"Mixolatic": 11111112111,
"Soratic": 11111121111,
"Godatic": 11111211111,
"Eptatic": 11112111111,
"Ionatic": 11121111111,
"Aeolatic": 11211111111,
"Thydatic": 12111111111,
"Chromatic": 111111111111,
}
def get_scale(name: str) -> list:
"""Get a scale from the global scale list"""
scale = SCALES.get(
name.lower().capitalize(),
SCALES["Chromatic"])
return list(map(int, str(scale)))
def note_from_pc(
root: int,
pitch_class: int,
intervals: list[int]
) -> int:
"""Resolve a pitch class into a note from a scale"""
intervals = sum(intervals[0:pitch_class])
return (root + intervals if pitch_class >= 0 else
root - intervals)
if __name__ == "__main__":
print(get_scale("Godatic"))
# Taking the fifth from the chromatic scale
user_scale = get_scale("chromatic")
note = note_from_pc(60, -7, user_scale)
print(f"Note: {note} from {user_scale}")