Scales starting from #8 are compiled from the Scala library, available from: http://www.xs4all.nl/~huygensf/scala/ # Label Name Scale size Description 0 12-Tone 12 The standard 12-tone equal tempered chromatic scale 1 Basic Just Intonation 12 Ratios: 1:1 16:15 9:8 6:5 5:4 4:3 45:32 3:2 8:5 5:3 9:5 15:8 2 Augmented Just 12 Ratios: 1:1 135:128 9:8 75:64 5:4 4:3 45:32 3:2 25:16 5:3 225:128 15:8 3 Kepler's Just Scale 12 Ratios: 1:1 135:128 9:8 6:5 5:4 4:3 45:32 3:2 405:256 27:16 9:5 15:8 4 Vallotti/Young Just Scale 12 Cents: 0 93.8 195.3 298.4 392.2 501.6 592.2 698.4 795.3 893.8 1000 1090.6 5 Pythagorean 12 Ratios: 1:1 2187:2048 9:8 19683:16384 81:64 4:3 729:512 3:2 6561:4096 27:16 59049:32768 243:128 6 Prime Pentatonic 5 Ratios: 1:1 9:8 5:4 3:2 5:3 7 19-Tone 19 19-tone equal tempered scale 8 05-19.SCL 5 5 out of 19-tET 9 05-24.SCL 5 5 out of 24-tET, symmetrical 10 07-19.SCL 7 7 out of 19-tET, major 11 AEOLIC.SCL 7 Ancient Greek Aeolic, also tritriadic scale of the 54:64:81 triad 12 AFRICA-W2.SCL 7 Pitt-River's balafon tuning from West-Africa 13 AL-DIN_19.SCL 19 Arabic scale by Safi al-Din 14 AL-FARABI.SCL 7 Al-Farabi Syn Chrom 15 AL-FARABI_19.SCL 19 Arabic scale by Al Farabi 16 AL-FARABI_DIAT2.SCL 7 Old Phrygian, permuted form of Al-Farabi's reduplicated 10/9 diatonic genus 17 AL-HWARIZMI.SCL 6 Al-Hwarizmi's tetrachord division 18 ALBION.SCL 12 Terry Riley's Harp of New Albion scale, inverse Malcolm's Monochord, 1/1 on C# 19 ARABIC.SCL 17 Arabic 17-tone Pythagorean mode, Safi al-Din 20 BAGPIPE.SCL 12 Uilleann bagpipe tuning 21 BAMBOO.SCL 23 Pythagorean scale with fifth average from Chinese bamboo tubes 22 BARTOK_AX.SCL 12 Bartok's axial system, 4 times S-T-D on major triad 4:5:6 23 BOHLEN_EQ.SCL 13 Most equal selection from all enharmonic Bohlen-Pierce tones 24 BREED-BLUES1.SCL 7 Graham Breed's blues scale in 22-tET 25 BREED-BLUES2.SCL 8 Graham Breed's blues scale in 29-tET 26 BURMA.SCL 7 Observed patala tuning from Burma 27 BURT1.SCL 12 W. Burt's 13diatsub #1 28 BURT2.SCL 12 W. Burt's 13enhsub #2 29 CARLOS_ALPHA.SCL 18 Wendy Carlos' Alpha scale with perfect fifth divided in nine 30 CARLOS_BETA.SCL 22 Wendy Carlos' Beta scale with perfect fifth divided by eleven 31 CARLOS_GAMMA.SCL 35 Wendy Carlos' Gamma scale with third divided by eleven or fifth by twenty 32 CARLOS_HARM.SCL 12 Carlos Harmonic, also Dan Schmidt Slendro-Pelog with 13,17,19,21,27 33 CARLOS_SUPER.SCL 12 Carlos Super Just 34 CHIN_12.SCL 12 Chinese scale, 4th cent. 35 CHIN_5.SCL 5 Chinese pentatonic from Zhou period 36 CHIN_7.SCL 7 Chinese heptatonic scale and tritriadic of 64:81:96 triad 37 CHIN_BRONZE.SCL 7 Scale found on ancient Chinese bronze instrument 3rd c.BC & "Scholar's Lute" 38 CHIN_LU5.SCL 12 Chinese Lu" scale by Ch'ien Lo-Chih, c.450 AD Pyth.steps 0 154 255 103 204 etc 39 DIAT_EQ2.SCL 7 Equal Diatonic, 11/10 x 400/363 x 11/10 40 DIAT_GOLD.SCL 7 Diatonic scale with ratio between whole and half tone the Golden Section 41 DORIAN_CHROM.SCL 24 Dorian Chromatic Tonos 42 DORIAN_CHROM2.SCL 7 Schlesinger's Dorian Harmonia in the chromatic genus 43 DORIAN_DIAT.SCL 24 Dorian Diatonic Tonos 44 DORIAN_ENH.SCL 24 Dorian Enharmonic Tonos 45 DORIAN_PIS.SCL 15 Diatonic Perfect Immutable System in the Dorian Tonos, a non-rep. 16 tone gamut 46 DORIAN_SCHL.SCL 12 Schlesinger's Dorian Piano Tuning (Sub 22) 47 DOW_HIGH.SCL 14 Highest octave of Dowlands lute tuning, strings 5,6. 1/1=G (1610) 48 DOW_LOW.SCL 17 Lowest octave of Dowlands lute tuning, strings 1,2,3. 1/1=G. (1610) 49 DOW_MIDDLE.SCL 24 Middle octave of Dowlands lute tuning, strings 3,4,5. 1/1=G (1610) 50 HARRISON_5.SCL 5 From Lou Harrison, a pelog style pentatonic 51 HARRISON_8.SCL 8 Harrison 8-tone from Serenade for Guitar 52 HARRISON_CINNA.SCL 12 Lou Harrison, "Incidental Music for Corneille's Cinna" (1955-56) 53 HARRISON_DIAT.SCL 7 From Lou Harrison, a soft diatonic 54 HARRISON_JOY.SCL 6 Lou Harrison's Joyous 6 55 HARRISON_MID.SCL 7 Lou Harrison mid mode 56 HARRISON_MIN.SCL 5 From Lou Harrison, a symmetrical pentatonic with minor thirds 57 HARRISON_MIX1.SCL 5 A "mixed type" pentatonic, Lou Harrison 58 HIRAJOSHI.SCL 5 Observed Japanese pentatonic koto scale 59 HIRAJOSHI2.SCL 5 Another Japanese pentatonic koto scale 60 HOFMANN1.SCL 7 Hofmann's Enharmonic #1, Dorian mode 61 HOFMANN2.SCL 7 Hofmann's Enharmonic #2, Dorian mode 62 HOFMANN_CHROM.SCL 7 Hofmann's Chromatic 63 INDIAN-DK.SCL 9 Raga Darbari Kanada 64 INDIAN-ERLICH.SCL 22 Indian shrutis Paul Erlich proposal 65 INDIAN-HAHN.SCL 22 Indian shrutis Paul Hahn proposal 66 INDIAN-HRDAYA1.SCL 12 From Hrdayakautaka of Hrdaya Narayana (17th c) Bhatkande's interpretation 67 INDIAN-OLD2ELLIS.SCL 22 Ellis Old Indian Chrom2, Helmholtz, p. 517. This is a 4 cent appr. to #73 68 INDIAN-SRUTIHARM.SCL 22 B. Chaitanya Deva's sruti harmonium. The Music of India, 1981, p. 109 69 INDIAN.SCL 22 Indian shruti scale 70 INDIAN_12.SCL 12 North Indian Gamut, modern Hindustani gamut out of 22 or more shrutis 71 IRAN_DIAT.SCL 7 Iranian Diatonic from Dariush Anooshfar, Safi-a-ddin Armavi's scale from 125 ET 72 IRAQ.SCL 8 Iraq 8-tone scale, Ellis 73 ISLAMIC.SCL 5 Islamic Genus (DF#7), from Rouanet 74 LYDIAN_PIS.SCL 15 The Diatonic Perfect Immutable System in the Lydian Tonos 75 MIRING2.SCL 5 Gamelan Miring (Melog gender) from Serdang wetan 76 MOKHALIF.SCL 7 Iranian mode Mokhalif from C 77 MUSAQA.SCL 7 Egyptian scale by Miha'il Musaqa 78 OLYMPOS.SCL 5 Scale of ancient Greek flutist Olympos, 6th century BC as reported by Partch 79 PARTCH-BARSTOW.SCL 18 Guitar scale for Partch's Barstow (1941, 1968) 80 PARTCH-GREEK.SCL 12 Partch Greek scales from "Two Studies on Ancient Greek Scales" on black/white 81 PARTCH-INDIAN.SCL 22 Partch's Indian Chromatic, Exposition of Monophony, 1933. 82 PARTCH-UR.SCL 39 Ur-Partch curved keyboard, published in Interval 83 PARTCH_29.SCL 29 Partch/Ptolemy 11-limit Diamond 84 PARTCH_37.SCL 37 From "Exposition on Monophony" 1933, unp. see Ayers, 1/1 vol.9(2) 85 PARTCH_39.SCL 39 Ur-Partch Keyboard 39 tones, published in Interval 86 PARTCH_41.SCL 41 13-limit Diamond after Partch, Genesis of a Music, p 454, 2nd edition 87 PARTCH_41A.SCL 41 From "Exposition on Monophony" 1933, unp. see Ayers, 1/1 vol. 9(2) 88 PARTCH_43.SCL 43 Harry Partch's 43-tone pure scale 89 ROBOT.SCL 12 Dead Robot 90 ROBOT_LIVE.SCL 12 Live Robot 91 SCHILLINGER.SCL 36 Joseph Schillinger's double equal temperament, p.664 Mathematical Basis... 92 SLENDRO.SCL 5 Observed Javanese Slendro scale 93 SLENDRO5_1.SCL 5 A slendro type pentatonic which is based on intervals of 7; from Lou Harrison 94 SLOVAK_MIN.SCL 7 Gipsy minor scale from Slovakia 95 TEMP3EBT.SCL 3 Cycle of 3 equal beating thirds 96 TEMP4EBMT.SCL 4 Cycle of 4 equal beating minor thirds 97 TEMP4EBSI.SCL 4 Cycle of 4 equal beating major sixths 98 TEMP5EBF.SCL 5 Cycle of 5 equal beating fifths 99 TEMP5EBS.SCL 5 Cycle of 5 equal beating harmonic sevenths 100 XENAKIS_CHROM.SCL 7 Xenakis's Byzantine Liturgical mode, 5 + 19 + 6 parts 101 XENAKIS_DIAT.SCL 7 Xenakis's Byzantine Liturgical mode, 12 + 11 + 7 parts 102 XENAKIS_SCHROM.SCL 7 Xenakis's Byzantine Liturgical mode, 7 + 16 + 7 parts