5- to 10-tone scales from the modes of the harmonic series

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Here are some easy-to-use scales from the modes of the harmonic series (AFDOs). All these scales are built on the tonic of the parent mode, so that they share the primodal family of their parent mode. Most scales are not exact approximations but are approximations which have then been tinkered by hand and by ear.

High octaves of prime modes

Mode 128

Main article: 128afdo

7th octave of: Over-2


Cosmic (exact from 32afdo)

  • 172/128
  • 192/128
  • 204/128
  • 228/128
  • 256/128


Bryan Deister Tune 216 (exact from 16afdo)

  • 136/128
  • 160/128
  • 176/128
  • 192/128
  • 224/128
  • 240/128
  • 256/128


Flattened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 152/128
  • 170/128
  • 190/128
  • 202/128
  • 256/128


Flattened Blues Minor Maj7 (approximated from Compton in 96edo)

  • 152/128
  • 170/128
  • 182/128
  • 192/128
  • 242/128
  • 256/128


Hansel (approximated from 101afdo)

  • 144/128
  • 160/128
  • 170/128
  • 192/128
  • 214/128
  • 240/128
  • 256/128


Mechanical (exact from 16afdo)

  • 152/128
  • 160/128
  • 192/128
  • 224/128
  • 256/128


Moonbeam (exact from 16afdo)

  • 144/128
  • 152/128
  • 192/128
  • 240/128
  • 256/128


Pelog Pentatonic (approximated from 21edo)

  • 137/128
  • 151/128
  • 191/128
  • 203/128
  • 256/128


Roughened Blues Dorian Pentatonic (approximated from Compton in 96edo)

  • 152/128
  • 192/128
  • 216/128
  • 226/128
  • 256/128


Sharpened Blues Dorian Hexatonic (approximated from Compton in 96edo)

  • 154/128
  • 172/128
  • 194/128
  • 216/128
  • 230/128
  • 256/128


Sharpened Blues Harmonic Septatonic (approximated from Compton in 96edo)

  • 154/128
  • 172/128
  • 182/128
  • 194/128
  • 204/128
  • 244/128
  • 256/128


Sharpened Dorian Harmonic (approximated from Compton in 96edo)

  • 144/128
  • 154/128
  • 182/128
  • 194/128
  • 216/128
  • 230/128
  • 256/128


Sharpened Hirajoshi (approximated from Compton in 96edo)

  • 144/128
  • 154/128
  • 192/128
  • 204/128
  • 256/128


Sharpened Akebono I (approximated from Compton in 96edo)

  • 144/128
  • 154/128
  • 192/128
  • 216/128
  • 256/128


Sharpened Minor Pentatonic (approximated from Compton in 96edo)

  • 154/128
  • 170/128
  • 192/128
  • 229/128
  • 256/128


Springwater (a.k.a. Otonalpentad, a.k.a. rotated 5afdo) (exact from 8afdo)

  • 144/128
  • 160/128
  • 192/128
  • 224/128
  • 256/128


Volcanic (exact from 16afdo)

  • 136/128
  • 160/128
  • 192/128
  • 224/128
  • 256/128


Mode 80

Main article: 80afdo

5th octave of: Over-5


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 90/80
  • 101/80
  • 107/80
  • 120/80
  • 135/80
  • 151/80
  • 160/80


Lost spirit (approximated from Meantone in 31edo)

  • 96/80
  • 107/80
  • 115/80
  • 120/80
  • 137/80
  • 144/80
  • 160/80


Cosmic (approximated from 32afdo)

  • 107/80
  • 120/80
  • 127/80
  • 143/80
  • 160/80


Evened Phryigan Dominant Hexatonic (approximated from Compton in 96edo)

  • 85/80
  • 100/80
  • 107/80
  • 121/80
  • 142/80
  • 160/80


Flattened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 94/80
  • 106/80
  • 119/80
  • 126/80
  • 160/80


Flattened Blues Minor Maj7 (approximated from Compton in 96edo)

  • 94/80
  • 107/80
  • 113/80
  • 120/80
  • 151/80
  • 160/80


Hansel (approximated from 101afdo)

  • 90/80
  • 100/80
  • 107/80
  • 120/80
  • 134/80
  • 150/80
  • 160/80


Pelog Pentatonic (approximated from 21edo)

  • 85/80
  • 94/80
  • 119/80
  • 127/80
  • 160/80


Rotated Ternessbabdec (exact from 20afdo)

  • 84/80
  • 96/80
  • 112/80
  • 120/80
  • 140/80
  • 160/80


Roughened Blues Dorian Pentatonic (approximated from Compton in 96edo)

  • 95/80
  • 120/80
  • 136/80
  • 142/80
  • 160/80


Sharpened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 96/80
  • 121/80
  • 127/80
  • 143/80
  • 160/80


Sharpened Blues Dorian Hexatonic (approximated from Compton in 96edo)

  • 96/80
  • 108/80
  • 121/80
  • 135/80
  • 144/80
  • 160/80


Sharpened Blues Harmonic Septatonic (approximated from Compton in 96edo)

  • 96/80
  • 108/80
  • 114/80
  • 121/80
  • 128/80
  • 152/80
  • 160/80


Sharpened Dorian Harmonic (approximated from Compton in 96edo)

  • 90/80
  • 96/80
  • 114/80
  • 121/80
  • 136/80
  • 144/80
  • 160/80


Sharpened Hirajoshi (approximated from Compton in 96edo)

  • 90/80
  • 96/80
  • 120/80
  • 128/80
  • 160/80


Sharpened Akebono I (approximated from Compton in 96edo)

  • 90/80
  • 96/80
  • 120/80
  • 135/80
  • 160/80


Sharpened Akebono Harmonic (approximated from Compton in 96edo)

  • 90/80
  • 96/80
  • 112/80
  • 120/80
  • 135/80
  • 144/80
  • 160/80


Sharpened Minor Blues (approximated from Compton in 96edo)

  • 96/80
  • 107/80
  • 112/80
  • 120/80
  • 144/80
  • 160/80


Sharpened Minor Pentatonic (approximated from Compton in 96edo)

  • 96/80
  • 107/80
  • 120/80
  • 144/80
  • 160/80


Slendric6 (approximated)

  • 92/80
  • 105/80
  • 120/80
  • 137/80
  • 140/80
  • 160/80


Mode 112

Main article: 112afdo

5th octave of: Over-7


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 126/112
  • 142/112
  • 150/112
  • 168/112
  • 188/112
  • 212/112
  • 224/112


Apex (exact from 14afdo) (very dissonant and spicy, handle with caution)

  • 120/112
  • 144/112
  • 152/112
  • 168/112
  • 176/112
  • 208/112
  • 224/112


Cosmic (approximated from 32afdo)

  • 150/112
  • 168/112
  • 178/112
  • 200/112
  • 224/112


Evened Minor Hexatonic (approximated from Compton in 96edo)

  • 126/112
  • 134/112
  • 150/112
  • 168/112
  • 198/112
  • 224/112


Evened Phrygian Dominant Hexatonic (approximated from Compton in 96edo)

  • 120/112
  • 140/112
  • 150/112
  • 170/112
  • 198/112
  • 124/112


Flattened Blues Minor Maj7 (approximated from Compton in 96edo)

  • 132/112
  • 150/112
  • 158/112
  • 168/112
  • 212/112
  • 224/112


Hansel (approximated from 101afdo)

  • 126/112
  • 140/112
  • 150/112
  • 168/112
  • 188/112
  • 210/112
  • 224/112


Pelog Pentatonic (approximated from 21edo)

  • 120/112
  • 132/112
  • 167/112
  • 178/112
  • 224/112


Sharpened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 134/112
  • 170/112
  • 178/112
  • 200/112
  • 224/112


Sharpened Blues Dorian Hexatonic (approximated from Compton in 96edo)

  • 134/112
  • 150/112
  • 170/112
  • 188/112
  • 202/112
  • 224/112


Sharpened Dorian Harmonic (approximated from Compton in 96edo)

  • 126/112
  • 134/112
  • 160/112
  • 170/112
  • 190/112
  • 202/112
  • 224/112


Sharpened Hirajoshi (approximated from Compton in 96edo)

  • 126/112
  • 134/112
  • 168/112
  • 180/112
  • 224/112


Sharpened Akebono I (approximated from Compton in 96edo)

  • 126/112
  • 134/112
  • 168/112
  • 188/112
  • 224/112


Sharpened Major Pentatonic (approximated from Compton in 96edo)

  • 134/112
  • 150/112
  • 168/112
  • 202/112
  • 224/112

Third octaves of prime modes

Over-11 to -19

Mode 44

Main article: 44afdo

3rd octave of: Over-11


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 49/44
  • 55/44
  • 59/44
  • 66/44
  • 74/44
  • 83/44
  • 88/44


Cosmic (approximated from 32afdo)

  • 59/44
  • 66/44
  • 70/44
  • 78/44
  • 88/44


Evened Minor Hexatonic (approximated from Compton in 96edo)

  • 49/44
  • 53/44
  • 59/44
  • 66/44
  • 78/44
  • 88/44


Evened Phrygian Dominant Hexatonic (approximated from Compton in 96edo)

  • 47/44
  • 55/44
  • 59/44
  • 66/44
  • 78/44
  • 88/44


Flattened Blues Minor Maj7 (approximated from Compton in 96edo)

  • 52/44
  • 59/44
  • 62/44
  • 66/44
  • 83/44
  • 88/44


Sharpened Blues Dorian Hexatonic (approximated from Compton in 96edo)

  • 53/44
  • 59/44
  • 66/44
  • 74/44
  • 79/44
  • 88/44


Sharpened Dorian Harmonic (approximated from Compton in 96edo)

  • 50/44
  • 53/44
  • 63/44
  • 66/44
  • 75/44
  • 79/44
  • 88/44


Sharpened Hirajoshi (approximated from Compton in 96edo)

  • 49/44
  • 53/44
  • 66/44
  • 70/44
  • 88/44


Sharpened Minor Pentatonic (approximated from Compton in 96edo)

  • 53/44
  • 59/44
  • 66/44
  • 79/44
  • 88/44


Mode 52

Main article: 52afdo

3rd octave of: Over-13


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 58/52
  • 66/52
  • 69/52
  • 78/52
  • 87/52
  • 98/52
  • 104/52


Antipental blues (approximated from Dwarf17marv)

  • 61/52
  • 70/52
  • 72/52
  • 78/52
  • 91/52
  • 104/52


Evened Minor Hexatonic (approximated from Compton in 96edo)

  • 58/52
  • 62/52
  • 69/52
  • 78/52
  • 92/52
  • 104/52


Evened Phrygian Dominant Hexatonic (approximated from Compton in 96edo)

  • 55/52
  • 65/52
  • 69/52
  • 78/52
  • 92/52
  • 104/52


Flattened Hirajoshi (approximated from Compton in 96edo)

  • 58/52
  • 62/52
  • 78/52
  • 82/52
  • 104/52


Hansel (approximated from 101afdo)

  • 58/52
  • 65/52
  • 69/52
  • 78/52
  • 87/52
  • 97/52
  • 104/52


Roughened Blues Dorian Hexatonic (approximated from Compton in 96edo)

  • 62/52
  • 69/52
  • 78/52
  • 87/52
  • 93/52
  • 104/52


Roughened Blues Dorian Pentatonic (approximated from Compton in 96edo)

  • 62/52
  • 78/52
  • 87/52
  • 92/52
  • 104/52


Sharpened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 62/52
  • 78/52
  • 83/52
  • 93/52
  • 104/52


Sharpened Hirajoshi (approximated from Compton in 96edo)

  • 59/52
  • 62/52
  • 78/52
  • 83/52
  • 104/52


Sharpened Akebono I (approximated from Compton in 96edo)

  • 58/52
  • 62/52
  • 78/52
  • 88/52
  • 104/52


Sharpened Minor Pentatonic (approximated from Compton in 96edo)

  • 62/52
  • 69/52
  • 78/52
  • 93/52
  • 104/52


Mode 68

Main article: 68afdo

3rd octave of: Over-17


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 76/68
  • 85/68
  • 91/68
  • 102/68
  • 113/68
  • 128/68
  • 136/68


Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 81/68
  • 102/68
  • 114/68
  • 121/68
  • 136/68


Cosmic (approximated from Compton in 96edo)

  • 91/68
  • 102/68
  • 108/68
  • 121/68
  • 136/68


Flattened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 80/68
  • 90/68
  • 101/68
  • 107/68
  • 136/68


Flattened Blues Minor Maj7 (approximated from Compton in 96edo)

  • 80/68
  • 91/68
  • 96/68
  • 102/68
  • 128/68
  • 136/68


Sharpened Hirajoshi (approximated from Compton in 96edo)

  • 76/68
  • 81/68
  • 102/68
  • 108/68
  • 136/68


Flattened Akebono I (approximated from Compton in 96edo)

  • 76/68
  • 81/68
  • 102/68
  • 114/68
  • 136/68


Hansel (approximated from 101afdo)

  • 76/68
  • 85/68
  • 91/68
  • 102/68
  • 114/68
  • 127/68
  • 136/68


Sharpened Blues Dorian Hexatonic (approximated from Compton in 96edo)

  • 81/68
  • 91/68
  • 103/68
  • 114/68
  • 122/68
  • 136/68


Sharpened Major Pentatonic (approximated from Compton in 96edo)

  • 81/68
  • 91/68
  • 102/68
  • 122/68
  • 136/68


Slendric6 (approximated)

  • 78/68
  • 89/68
  • 102/68
  • 117/68
  • 119/68
  • 136/68


Mode 76

Main article: 76afdo

3rd octave of: Over-19


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 86/76
  • 96/76
  • 102/76
  • 114/76
  • 128/76
  • 144/76
  • 152/76


Cosmic (approximated from 32afdo)

  • 102/76
  • 114/76
  • 120/76
  • 136/76
  • 152/76


Flattened Blues Minor Maj7 (approximated from Compton in 96edo)

  • 90/76
  • 102/76
  • 108/76
  • 114/76
  • 144/76
  • 152/76


Hansel (approximated from 101afdo)

  • 86/76
  • 96/76
  • 102/76
  • 114/76
  • 128/76
  • 142/76
  • 152/76


Palace (approximated from Porky in 29edo)

  • 84/76
  • 90/76
  • 102/76
  • 114/76
  • 126/76
  • 134/76
  • 152/76


Pelog Pentatonic (approximated from 21edo)

  • 81/76
  • 90/76
  • 113/76
  • 121/76
  • 152/76


Roughened Blues Dorian Pentatonic (approximated from Compton in 96edo)

  • 90/76
  • 114/76
  • 128/76
  • 134/76
  • 152/76


Sharpened Blues Dorian Hexatonic (approximated from Compton in 96edo)

  • 90/76
  • 102/76
  • 114/76
  • 128/76
  • 136/76
  • 152/76


Sharpened Blues Harmonic Septatonic (approximated from Compton in 96edo)

  • 90/76
  • 102/76
  • 108/76
  • 114/76
  • 122/76
  • 144/76
  • 152/76


Sharpened Dorian Harmonic (approximated from Compton in 96edo)

  • 86/76
  • 90/76
  • 108/76
  • 114/76
  • 128/76
  • 136/76
  • 152/76


Sharpened Hirajoshi (approximated from Compton in 96edo)

  • 86/76
  • 92/76
  • 114/76
  • 122/76
  • 152/76


Sharpened Akebono I (approximated from Compton in 96edo)

  • 86/76
  • 92/76
  • 114/76
  • 128/76
  • 152/76


Sharpened Minor Pentatonic (approximated from Compton in 96edo)

  • 92/76
  • 102/76
  • 114/76
  • 136/76
  • 152/76


Desharpened Minor Pentatonic (approximated from Compton in 96edo)

  • 90/76
  • 102/76
  • 114/76
  • 136/76
  • 152/76


Slendric6 (approximated)

  • 86/76
  • 100/76
  • 114/76
  • 130/76
  • 132/76
  • 152/76

Over-23 to -31

Mode 92

Main article: 92afdo

3rd octave of: Over-23


Antipental blues (approximated from Dwarf17marv)

  • 108/92
  • 122/92
  • 126/92
  • 138/92
  • 162/92
  • 184/92


Cosmic (approximated from 32afdo)

  • 122/92
  • 138/92
  • 146/92
  • 164/92
  • 184/92


Evened Minor Hexatonic (approximated from Compton in 96edo)

  • 102/92
  • 110/92
  • 122/92
  • 138/92
  • 162/92
  • 184/92


Evened Phrygian Dominant Hexatonic (approximated from Compton in 96edo)

  • 98/92
  • 116/92
  • 122/92
  • 138/92
  • 162/92
  • 184/92


Flattened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 108/92
  • 122/92
  • 136/92
  • 144/92
  • 184/92


Flattened Blues Minor Maj7 (approximated from Compton in 96edo)

  • 108/92
  • 122/92
  • 130/92
  • 138/92
  • 174/92
  • 184/92


Palace (approximated from Porky in 29edo)

  • 102/92
  • 108/92
  • 122/92
  • 138/92
  • 152/92
  • 164/92
  • 184/92


Pelog Pentatonic (approximated from 21edo)

  • 98/92
  • 109/92
  • 137/92
  • 146/92
  • 184/92


Sharpened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 110/92
  • 138/92
  • 146/92
  • 164/92
  • 184/92


Sharpened Blues Dorian Hexatonic (approximated from Compton in 96edo)

  • 110/92
  • 124/92
  • 138/92
  • 154/92
  • 166/92
  • 184/92


Sharpened Blues Harmonic Septatonic (approximated from Compton in 96edo)

  • 110/92
  • 124/92
  • 130/92
  • 138/92
  • 148/92
  • 174/92
  • 184/92


Sharpened Dorian Harmonic (approximated from Compton in 96edo)

  • 104/92
  • 110/92
  • 132/92
  • 138/92
  • 156/92
  • 166/92
  • 184/92


Sharpened Hirajoshi (approximated from Compton in 96edo)

  • 104/92
  • 110/92
  • 138/92
  • 148/92
  • 184/92


Sharpened Akebono I (approximated from Compton in 96edo)

  • 104/92
  • 110/92
  • 138/92
  • 154/92
  • 184/92


Sharpened Minor Pentatonic (approximated from Compton in 96edo)

  • 110/92
  • 124/92
  • 138/92
  • 166/92
  • 184/92


Mode 116

Main article: 116afdo

3rd octave of: Over-29


Cosmic (approximated from 32afdo)

  • 154/116
  • 174/116
  • 184/116
  • 206/116
  • 232/116


Evened Minor Hexatonic (approximated from Compton in 96edo)

  • 130/116
  • 138/116
  • 156/116
  • 174/116
  • 206/116
  • 232/116


Evened Phrygian Dominant Hexatonic (approximated from Compton in 96edo)

  • 124/116
  • 146/116
  • 154/116
  • 176/116
  • 206/116
  • 232/116


Flattened Blues Minor Maj7 (approximated from Compton in 96edo)

  • 136/116
  • 154/116
  • 164/116
  • 174/116
  • 218/116
  • 232/116


Hansel (approximated from 101afdo)

  • 130/116
  • 146/116
  • 154/116
  • 174/116
  • 194/116
  • 218/116
  • 232/116


Palace (approximated from Compton in 96edo)

  • 128/116
  • 138/116
  • 154/116
  • 174/116
  • 192/116
  • 206/116
  • 232/116


Pelog Pentatonic (approximated from 21edo)

  • 124/116
  • 137/116
  • 172/116
  • 184/116
  • 232/116


Sharpened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 138/116
  • 174/116
  • 184/116
  • 206/116
  • 232/116


Sharpened Blues Dorian Hexatonic (approximated from Compton in 96edo)

  • 138/116
  • 156/116
  • 174/116
  • 196/116
  • 208/116
  • 232/116


Sharpened Blues Harmonic Septatonic (approximated from Compton in 96edo)

  • 138/116
  • 156/116
  • 164/116
  • 174/116
  • 186/116
  • 220/116
  • 232/116


Sharpened Dorian Harmonic (approximated from Compton in 96edo)

  • 132/116
  • 138/116
  • 164/116
  • 174/116
  • 196/116
  • 208/116
  • 232/116


Sharpened Hirajoshi (approximated from Compton in 96edo)

  • 130/116
  • 140/116
  • 174/116
  • 186/116
  • 232/116


Sharpened Akebono I (approximated from Compton in 96edo)

  • 130/116
  • 138/116
  • 174/116
  • 196/116
  • 232/116


Sharpened Minor Pentatonic (approximated from Compton in 96edo)

  • 138/116
  • 156/116
  • 174/116
  • 208/116
  • 232/116


Desharpened Minor Pentatonic (approximated from Compton in 96edo)

  • 138/116
  • 154/116
  • 174/116
  • 208/116
  • 232/116


Mode 124

Main article: 124afdo

3rd octave of: Over-31


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 140/124
  • 156/124
  • 166/124
  • 186/124
  • 208/124
  • 234/124
  • 248/124


Lost spirit (approximated from Meantone in 31edo)

  • 148/124
  • 165/124
  • 178/124
  • 186/124
  • 213/124
  • 223/124
  • 248/124


Cosmic (approximated from 32afdo)

  • 166/124
  • 186/124
  • 198/124
  • 222/124
  • 248/124


Evened Phrygian Dominant Hexatonic (approximated from Compton in 96edo)

  • 132/124
  • 156/124
  • 166/124
  • 188/124
  • 220/124
  • 248/124


Flattened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 146/124
  • 164/124
  • 184/124
  • 196/124
  • 248/124


Flattened Minor Pentatonic (approximated from Compton in 96edo)

  • 146/124
  • 164/124
  • 184/124
  • 220/124
  • 248/124


Hansel (approximated from 101afdo)

  • 140/124
  • 156/124
  • 166/124
  • 186/124
  • 208/124
  • 232/124
  • 248/124


Pelog Pentatonic (approximated from 21edo)

  • 132/124
  • 146/124
  • 184/124
  • 197/124
  • 248/124


Roughened Blues Dorian Pentatonic (approximated from Compton in 96edo)

  • 148/124
  • 186/124
  • 206/124
  • 220/124
  • 248/124


Roughened Minor Pentatonic (approximated from Compton in 96edo)

  • 148/124
  • 166/124
  • 186/124
  • 222/124
  • 248/124


Sharpened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 148/124
  • 188/124
  • 196/124
  • 220/124
  • 248/124


Sharpened Blues Harmonic Septatonic (approximated from Compton in 96edo)

  • 148/124
  • 166/124
  • 188/124
  • 208/124
  • 222/124
  • 248/124


Sharpened Blues Minor Maj7 (approximated from Compton in 96edo)

  • 148/124
  • 166/124
  • 176/124
  • 186/124
  • 236/124
  • 248/124


Sharpened Dorian Harmonic (approximated from Compton in 96edo)

  • 140/124
  • 148/124
  • 176/124
  • 186/124
  • 210/124
  • 222/124
  • 248/124


Sharpened Hirajoshi (approximated from Compton in 96edo)

  • 140/124
  • 148/124
  • 186/124
  • 198/124
  • 248/124


Sharpened Akebono I (approximated from Compton in 96edo)

  • 140/124
  • 148/124
  • 186/124
  • 208/124
  • 248/124


Sharpened Minor Pentatonic (approximated from Compton in 96edo)

  • 150/124
  • 166/124
  • 188/124
  • 224/124
  • 248/124


Spearmint

(NEJI 5edo)

  • 142/124
  • 164/124
  • 188/124
  • 216/124
  • 248/124


Second octaves of prime modes

Over-37 to -47

Mode 74

Main article: 74afdo

Scales also usable above the root in: 148afdo

2nd octave of: Over-37


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 83/74
  • 93/74
  • 99/74
  • 111/74
  • 124/74
  • 140/74
  • 148/74


Cosmic (approximated from Compton in 96edo)

  • 99/74
  • 111/74
  • 117/74
  • 132/74
  • 148/74


Evened Minor Hexatonic (approximated from Compton in 96edo)

  • 82/74
  • 88/74
  • 98/74
  • 110/74
  • 130/74
  • 148/74


Evened Phrygian Dominant Hexatonic (approximated from Compton in 96edo)

  • 78/74
  • 92/74
  • 98/74
  • 112/74
  • 130/74
  • 148/74


Flattened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 88/74
  • 98/74
  • 110/74
  • 116/74
  • 148/74


Pelog Pentatonic (approximated from 21edo)

  • 79/74
  • 87/74
  • 110/74
  • 117/74
  • 148/74


Sharpened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 88/74
  • 112/74
  • 118/74
  • 132/74
  • 148/74


Sharpened Blues Dorian Hexatonic (approximated from Compton in 96edo)

  • 89/74
  • 99/74
  • 112/74
  • 124/74
  • 133/74
  • 148/74


Sharpened Blues Harmonic Septatonic (approximated from Compton in 96edo)

  • 89/74
  • 99/74
  • 105/74
  • 112/74
  • 118/74
  • 141/74
  • 148/74


Sharpened Blues Minor Maj7 (approximated from Compton in 96edo)

  • 89/74
  • 99/74
  • 105/74
  • 111/74
  • 140/74
  • 148/74


Sharpened Dorian Harmonic (approximated from Compton in 96edo)

  • 84/74
  • 89/74
  • 105/74
  • 112/74
  • 125/74
  • 133/74
  • 148/74


Sharpened Hirajoshi (approximated from Compton in 96edo)

  • 84/74
  • 88/74
  • 111/74
  • 118/74
  • 148/74


Sharpened Akebono I (approximated from Compton in 96edo)

  • 83/74
  • 89/74
  • 111/74
  • 124/74
  • 148/74


Sharpened Minor Pentatonic (approximated from Compton in 96edo)

  • 88/74
  • 98/74
  • 110/74
  • 132/74
  • 148/74


Mode 82

Main article: 82afdo

2nd octave of: Over-41


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 92/82
  • 103/82
  • 109/82
  • 123/82
  • 137/82
  • 154/82
  • 164/82


Evened Minor Hexatonic (approximated from Compton in 96edo)

  • 92/82
  • 98/82
  • 110/82
  • 122/82
  • 146/82
  • 164/82


Flattened Blues Minor Maj7 (approximated from Compton in 96edo)

  • 96/82
  • 110/82
  • 116/82
  • 122/82
  • 154/82
  • 164/82


Hansel (approximated from 101afdo)

  • 91/82
  • 103/82
  • 109/82
  • 122/82
  • 137/82
  • 153/82
  • 164/82


Pelog Pentatonic (approximated from 21edo)

  • 87/82
  • 97/82
  • 122/82
  • 130/82
  • 164/82


Roughened Blues Dorian Pentatonic (approximated from Compton in 96edo)

  • 98/82
  • 122/82
  • 138/82
  • 146/82
  • 164/82


Sharpened Blues Dorian Hexatonic (approximated from Compton in 96edo)

  • 98/82
  • 110/82
  • 124/82
  • 138/82
  • 148/82
  • 164/82


Sharpened Dorian Harmonic (approximated from Compton in 96edo)

  • 92/82
  • 98/82
  • 116/82
  • 124/82
  • 138/82
  • 148/82
  • 164/82


Sharpened Hirajoshi (approximated from Compton in 96edo)

  • 92/82
  • 98/82
  • 122/82
  • 132/82
  • 164/82


Sharpened Akebono I (approximated from Compton in 96edo)

  • 92/82
  • 98/82
  • 122/82
  • 138/82
  • 164/82


Sharpened Minor Pentatonic (approximated from Compton in 96edo)

  • 98/82
  • 110/82
  • 122/82
  • 148/82
  • 164/82


Mode 86

Main article: 86afdo

2nd octave of: Over-43


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 97/86
  • 108/86
  • 115/86
  • 129/86
  • 145/86
  • 162/86
  • 172/86


Evened Phrygian Dominant Hexatonic (approximated from Compton in 96edo)

  • 92/86
  • 108/86
  • 114/86
  • 130/86
  • 152/86
  • 172/86


Flattened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 102/86
  • 114/86
  • 128/86
  • 136/86
  • 172/86


Flattened Blues Minor Maj7 (approximated from Compton in 96edo)

  • 102/86
  • 114/86
  • 122/86
  • 128/86
  • 162/86
  • 172/86


Hansel (approximated from 101afdo)

  • 96/86
  • 108/86
  • 114/86
  • 128/86
  • 144/86
  • 162/86
  • 172/86


Pelog Pentatonic (approximated from 21edo)

  • 92/86
  • 101/86
  • 128/86
  • 137/86
  • 172/86


Roughened Blues Dorian Pentatonic (approximated from Compton in 96edo)

  • 102/86
  • 128/86
  • 146/86
  • 152/86
  • 172/86


Mode 94

Main article: 94afdo

2nd octave of: Over-47


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 105/94
  • 118/94
  • 126/94
  • 140/94
  • 156/94
  • 176/94
  • 188/94


Evened Phrygian Dominant Hexatonic (approximated from Compton in 96edo)

  • 100/94
  • 118/94
  • 126/94
  • 142/94
  • 166/94
  • 188/94


Flattened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 112/94
  • 124/94
  • 140/94
  • 148/94
  • 188/94


Flattened Blues Minor Maj7 (approximated from Compton in 96edo)

  • 112/94
  • 126/94
  • 132/94
  • 140/94
  • 178/94
  • 188/94


Pelog Pentatonic (approximated from 21edo)

  • 100/94
  • 111/94
  • 140/94
  • 149/94
  • 188/94


Roughened Blues Dorian Pentatonic (approximated from Compton in 96edo)

  • 112/94
  • 140/94
  • 160/94
  • 168/94
  • 188/94


Sharpened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 112/94
  • 142/94
  • 150/94
  • 168/94
  • 188/94


Sharpened Blues Dorian Hexatonic (approximated from Compton in 96edo)

  • 112/94
  • 126/94
  • 142/94
  • 158/94
  • 168/94
  • 188/94


Sharpened Dorian Harmonic (approximated from Compton in 96edo)

  • 112/94
  • 126/94
  • 132/94
  • 142/94
  • 150/94
  • 178/94
  • 188/94


Sharpened Hirajoshi (approximated from Compton in 96edo)

  • 106/94
  • 112/94
  • 140/94
  • 150/94
  • 188/94


Sharpened Akebono I (approximated from Compton in 96edo)

  • 106/94
  • 112/94
  • 140/94
  • 158/94
  • 188/94


Sharpened Minor Pentatonic (approximated from Compton in 96edo)

  • 112/94
  • 126/94
  • 140/94
  • 168/94
  • 188/94


Over-53 to -59

Mode 106

Main article: 106afdo

2nd octave of: Over-53


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 118/106
  • 132/106
  • 142/106
  • 159/106
  • 176/106
  • 198/106
  • 212/106


Evened Minor Hexatonic (approximated from Compton in 96edo)

  • 118/106
  • 126/106
  • 142/106
  • 158/106
  • 188/106
  • 212/106


Flattened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 126/106
  • 140/106
  • 158/106
  • 168/106
  • 212/106


Flattened Blues Minor Maj7 (approximated from Compton in 96edo)

  • 126/106
  • 142/106
  • 150/106
  • 158/106
  • 200/106
  • 212/106


Pelog Pentatonic (approximated from 21edo)

  • 113/106
  • 125/106
  • 158/106
  • 168/106
  • 212/106


Roughened Blues Dorian Pentatonic (approximated from Compton in 96edo)

  • 126/106
  • 158/106
  • 180/106
  • 188/106
  • 212/106


Sharpened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 126/106
  • 160/106
  • 168/106
  • 188/106
  • 212/106


Sharpened Blues Dorian Hexatonic (approximated from Compton in 96edo)

  • 126/106
  • 142/106
  • 160/106
  • 178/106
  • 190/106
  • 212/106


Sharpened Blues Harmonic Septatonic (approximated from Compton in 96edo)

  • 128/106
  • 142/106
  • 150/106
  • 160/106
  • 170/106
  • 202/106
  • 212/106


Sharpened Hirajoshi (approximated from Compton in 96edo)

  • 118/106
  • 126/106
  • 158/106
  • 170/106
  • 212/106


Sharpened Akebono I (approximated from Compton in 96edo)

  • 118/106
  • 126/106
  • 158/106
  • 178/106
  • 212/106


Sharpened Minor Pentatonic (approximated from Compton in 96edo)

  • 126/106
  • 142/106
  • 158/106
  • 190/106
  • 212/106


Mode 118

Main article: 118afdo

2nd octave of: Over-59


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 133/118
  • 148/118
  • 158/118
  • 178/118
  • 199/118
  • 222/118
  • 236/118


Evened Phrygian Dominant Hexatonic (approximated from Compton in 96edo)

  • 126/118
  • 148/118
  • 158/118
  • 178/118
  • 208/118
  • 236/118


Flattened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 140/118
  • 156/118
  • 176/118
  • 186/118
  • 236/118


Flattened Blues Minor Maj7 (approximated from Compton in 96edo)

  • 140/118
  • 158/118
  • 168/118
  • 176/118
  • 222/118
  • 236/118


Hansel (approximated from 101afdo)

  • 132/118
  • 148/118
  • 158/118
  • 176/118
  • 198/118
  • 222/118
  • 236/118


Pelog Pentatonic (approximated from 21edo)

  • 126/118
  • 139/118
  • 175/118
  • 187/118
  • 236/118


Sharpened Blues Dorian Hexatonic (approximated from Compton in 96edo)

  • 142/118
  • 158/118
  • 178/118
  • 198/118
  • 212/118
  • 236/118


Sharpened Blues Harmonic (approximated from Compton in 96edo)

  • 134/118
  • 142/118
  • 168/118
  • 178/118
  • 200/118
  • 212/118
  • 236/118


Sharpened Hirajoshi (approximated from Compton in 96edo)

  • 132/118
  • 142/118
  • 176/118
  • 188/118
  • 236/118


Sharpened Akebono I (approximated from Compton in 96edo)

  • 132/118
  • 142/118
  • 176/118
  • 198/118
  • 236/118


Sharpened Minor Pentatonic (approximated from Compton in 96edo)

  • 142/118
  • 158/118
  • 176/118
  • 212/118
  • 236/118


Over-61 to -67

Mode 122

Main article: 122afdo

2nd octave of: Over-61


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 138/122
  • 152/122
  • 162/122
  • 184/122
  • 204/122
  • 229/122
  • 244/122


Evened Minor Hexatonic (approximated from Compton in 96edo)

  • 136/122
  • 146/122
  • 162/122
  • 182/122
  • 216/122
  • 244/122


Evened Phrygian Dominant Hexatonic (approximated from Compton in 96edo)

  • 130/122
  • 152/122
  • 162/122
  • 184/122
  • 216/122
  • 244/122


Flattened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 144/122
  • 162/122
  • 182/122
  • 192/122
  • 244/122


Flattened Blues Minor Maj7 (approximated from Compton in 96edo)

  • 144/122
  • 162/122
  • 172/122
  • 182/122
  • 230/122
  • 244/122


Hansel (approximated from 101afdo)

  • 136/122
  • 152/122
  • 164/122
  • 182/122
  • 204/122
  • 228/122
  • 244/122


Pelog Pentatonic (approximated from 21edo)

  • 130/122
  • 144/122
  • 182/122
  • 194/122
  • 244/122


Roughened Blues Dorian Pentatonic (approximated from Compton in 96edo)

  • 146/122
  • 182/122
  • 206/122
  • 216/122
  • 244/122


Sharpened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 146/122
  • 184/122
  • 194/122
  • 218/122
  • 244/122


Sharpened Blues Dorian Hexatonic (approximated from Compton in 96edo)

  • 146/122
  • 164/122
  • 184/122
  • 206/122
  • 218/122
  • 244/122


Sharpened Blues Harmonic Septatonic (approximated from Compton in 96edo)

  • 146/122
  • 164/122
  • 174/122
  • 184/122
  • 196/122
  • 232/122
  • 244/122


Sharpened Dorian Harmonic (approximated from Compton in 96edo)

  • 138/122
  • 146/122
  • 174/122
  • 184/122
  • 206/122
  • 218/122
  • 244/122


Sharpened Hirajoshi (approximated from Compton in 96edo)

  • 136/122
  • 146/122
  • 182/122
  • 196/122
  • 244/122


Sharpened Akebono I (approximated from Compton in 96edo)

  • 136/122
  • 146/122
  • 182/122
  • 206/122
  • 244/122


Sharpened Minor Pentatonic (approximated from Compton in 96edo)

  • 146/122
  • 162/122
  • 182/122
  • 218/122
  • 244/122


Mode 134

Main article: 134afdo

2nd octave of: Over-67


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 150/134
  • 169/134
  • 178/134
  • 202/134
  • 224/134
  • 252/134
  • 268/134


Evened Hirajoshi (approximated from Compton in 96edo)

  • 150/134
  • 160/134
  • 200/134
  • 214/134
  • 268/134


Evened Akebono I (approximated from Compton in 96edo)

  • 150/134
  • 160/134
  • 200/134
  • 226/134
  • 268/134


Evened Minor Hexatonic (approximated from Compton in 96edo)

  • 150/134
  • 160/134
  • 178/134
  • 200/134
  • 238/134
  • 268/134


Evened Phrygian Dominant Hexatonic (approximated from Compton in 96edo)

  • 142/134
  • 168/134
  • 178/134
  • 202/134
  • 238/134
  • 268/134


Flattened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 158/134
  • 178/134
  • 200/134
  • 212/134
  • 268/134


Flattened Blues Minor Maj7 (approximated from Compton in 96edo)

  • 158/134
  • 178/134
  • 190/134
  • 200/134
  • 252/134
  • 268/134


Hansel (approximated from 101afdo)

  • 150/134
  • 168/134
  • 178/134
  • 200/134
  • 224/134
  • 252/134
  • 268/134


Pelog Pentatonic (approximated from 21edo)

  • 143/134
  • 158/134
  • 199/134
  • 213/134
  • 268/134


Roughened Blues Dorian Pentatonic (approximated from Compton in 96edo)

  • 160/134
  • 200/134
  • 226/134
  • 238/134
  • 268/134


Sharpened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 160/134
  • 202/134
  • 212/134
  • 238/134
  • 268/134


Sharpened Blues Dorian Hexatonic (approximated from Compton in 96edo)

  • 160/134
  • 180/134
  • 202/134
  • 226/134
  • 240/134
  • 268/134


Sharpened Dorian Harmonic (approximated from Compton in 96edo)

  • 152/134
  • 160/134
  • 190/134
  • 202/134
  • 226/134
  • 240/134
  • 268/134


Over-71 to -79

Mode 142

Main article: 142afdo

Primodal family: Over-71


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 160/142
  • 178/142
  • 190/142
  • 212/142
  • 238/142
  • 266/142
  • 284/142


Cosmic (approximated from 32afdo)

  • 190/142
  • 214/142
  • 226/142
  • 254/142
  • 284/142


Evened Phrygian Dominant Hexatonic (approximated from Compton in 96edo)

  • 152/142
  • 178/142
  • 190/142
  • 214/142
  • 252/142
  • 284/142


Flattened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 168/142
  • 188/142
  • 212/142
  • 224/142
  • 284/142


Pelog Pentatonic (approximated from 21edo)

  • 152/142
  • 167/142
  • 211/142
  • 225/142
  • 284/142


Sharpened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 170/142
  • 214/142
  • 226/142
  • 254/142
  • 284/142


Sharpened Blues Dorian Hexatonic (approximated from Compton in 96edo)

  • 170/142
  • 190/142
  • 214/142
  • 240/142
  • 254/142
  • 284/142


Sharpened Dorian Harmonic (approximated from Compton in 96edo)

  • 160/142
  • 170/142
  • 202/142
  • 214/142
  • 240/142
  • 254/142
  • 284/142


Sharpened Minor Pentatonic (approximated from Compton in 96edo)

  • 170/142
  • 190/142
  • 212/142
  • 254/142
  • 284/142


Mode 146

Main article: 146afdo

2nd octave of: Over-73


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 164/146
  • 183/146
  • 194/146
  • 220/146
  • 246/146
  • 274/146
  • 292/146


Flattened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 172/146
  • 194/146
  • 218/146
  • 230/146
  • 292/146


Hansel (approximated from 101afdo)

  • 164/146
  • 182/146
  • 194/146
  • 218/146
  • 244/146
  • 274/146
  • 292/146


Pelog Pentatonic (approximated from 21edo)

  • 156/146
  • 172/146
  • 217/146
  • 232/146
  • 292/146


Sharpened Blues Dorian Hexatonic (approximated from Compton in 96edo)

  • 174/146
  • 196/146
  • 220/146
  • 246/146
  • 262/146
  • 292/146


Sharpened Dorian Harmonic (approximated from Compton in 96edo)

  • 164/146
  • 174/146
  • 208/146
  • 220/146
  • 248/146
  • 262/146
  • 292/146


Sharpened Hirajoshi (approximated from Compton in 96edo)

  • 164/146
  • 174/146
  • 220/146
  • 234/146
  • 292/146


Sharpened Akebono I (approximated from Compton in 96edo)

  • 164/146
  • 174/146
  • 218/146
  • 246/146
  • 292/146


Sharpened Minor Pentatonic (approximated from Compton in 96edo)

  • 174/146
  • 196/146
  • 220/146
  • 262/146
  • 292/146


Mode 158

Main article: 158afdo

2nd octave of: Over-79


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 177/158
  • 199/158
  • 211/158
  • 237/158
  • 266/158
  • 298/158
  • 316/158


Cosmic (approximated from 32afdo)

  • 211/158
  • 237/158
  • 251/158
  • 284/158
  • 316/158


Evened Hirajoshi (approximated from Compton in 96edo)

  • 176/158
  • 189/158
  • 237/158
  • 253/158
  • 316/158


Evened Kokin-Joshi (approximated from Compton in 96edo)

  • 176/158
  • 189/158
  • 237/158
  • 266/158
  • 316/158


Antipental Blues (approximated from dwarf17marv)

  • 184/158
  • 211/158
  • 217/158
  • 237/158
  • 277/158
  • 316/158


Flattened Blues Major Min7 (approximated from Compton in 96edo)

  • 187/158
  • 211/158
  • 223/158
  • 237/158
  • 298/158
  • 316/158


Hansel (approximated from 101afdo)

  • 177/158
  • 198/158
  • 211/158
  • 237/158
  • 264/158
  • 296/158
  • 316/158


Palace (approximated from Porky in 29edo)

  • 174/158
  • 187/158
  • 210/158
  • 237/158
  • 261/158
  • 280/158
  • 316/158


Pelog Pentatonic (approximated from 21edo)

  • 169/158
  • 187/158
  • 235/158
  • 251/158
  • 316/158


Sharpened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 189/158
  • 238/158
  • 251/158
  • 282/158
  • 316/158


Sharpened Blues Dorian Hexatonic (approximated from Compton in 96edo)

  • 189/158
  • 212/158
  • 238/158
  • 266/158
  • 284/158
  • 316/158


Lemonade

NEJI of 5edo.

  • 182/158
  • 108/158
  • 240/158
  • 276/158
  • 316/158


First octaves of prime modes

80 to 100

Mode 83

Main article: 83afdo

Scales also usable above the root in: 166afdo

Primodal family: Over-83


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 93/83
  • 104/83
  • 111/83
  • 125/83
  • 138/83
  • 156/83
  • 166/83


Hansel (approximated from 101afdo)

  • 93/83
  • 104/83
  • 111/83
  • 124/83
  • 139/83
  • 156/83
  • 166/83


Mode 89

Main article: 89afdo

Scales also usable above the root in: 178afdo

Primodal family: Over-89


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 100/89
  • 111/89
  • 119/89
  • 134/89
  • 148/89
  • 167/89
  • 178/89


Hansel (approximated from 101afdo)

  • 100/89
  • 111/89
  • 119/89
  • 133/89
  • 149/89
  • 167/89
  • 178/89


Palace (approximated from Porky in 29edo)

  • 98/89
  • 105/89
  • 119/89
  • 134/89
  • 147/89
  • 158/89
  • 178/89


Slendric6 (approximated)

  • 102/89
  • 117/89
  • 133/89
  • 153/89
  • 156/89
  • 178/89


Mode 97

Main article: 97afdo

Scales also usable above the root in: 194afdo

Primodal family: Over-97


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 109/97
  • 121/97
  • 129/97
  • 146/97
  • 162/97
  • 182/97
  • 194/97


Hansel (approximated from 101afdo)

  • 109/97
  • 121/97
  • 129/97
  • 145/97
  • 162/97
  • 182/97
  • 194/97


Trailmix

NEJI of 6edo (a.k.a. the whole tone scale).

  • 109/97
  • 122/97
  • 137/97
  • 154/97
  • 173/97
  • 194/97

100 to 125

Mode 101

Main article: 101afdo

Scales also usable above the root in: 202afdo

Primodal family: Over-101

Sometimes called the dalmatian scale[idiosyncratic term] .


Dante (exact)

  • 114/101
  • 120/101
  • 152/101
  • 189/101
  • 202/101


Da Vinci (exact)

  • 113/101
  • 126/101
  • 151/101
  • 178/101
  • 202/101


Dawkins (exact)

  • 118/101
  • 135/101
  • 152/101
  • 185/101
  • 202/101


Deepak (exact)

  • 126/101
  • 135/101
  • 152/101
  • 160/101
  • 202/101


Deja Vu (exact)

  • 121/101
  • 151/101
  • 162/101
  • 182/101
  • 202/101


Delgado (exact)

  • 107/101
  • 126/101
  • 152/101
  • 177/101
  • 202/101


Dolly (exact)

  • 127/101
  • 134/101
  • 152/101
  • 177/101
  • 202/101


Dylan (exact)

  • 135/101
  • 151/101
  • 161/101
  • 180/101
  • 202/101


Fergus (exact)

  • 121/101
  • 135/101
  • 140/101
  • 151/101
  • 175/101
  • 181/101
  • 202/101


Hansel (exact)

  • 113/101
  • 126/101
  • 135/101
  • 151/101
  • 169/101
  • 189/101
  • 202/101


Liquorice

NEJI of 6edo (a.k.a. the whole tone scale).

  • 113/101
  • 127/101
  • 143/101
  • 160/101
  • 180/101
  • 202/101


Mode 103

Main article: 103afdo

Scales also usable above the root in: 206afdo

Primodal family: Over-103


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 116/103
  • 129/103
  • 138/103
  • 154/103
  • 172/103
  • 193/103
  • 206/103


Hansel (approximated from 101afdo)

  • 116/103
  • 129/103
  • 137/103
  • 154/103
  • 172/103
  • 193/103
  • 206/103


Mode 107

Main article: 107afdo

Primodal family: Over-107


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 121/107
  • 135/107
  • 143/107
  • 161/107
  • 180/107
  • 202/107
  • 214/107


Hansel (approximated from 101afdo)

  • 120/107
  • 134/107
  • 143/107
  • 160/107
  • 179/107
  • 201/107
  • 214/107


Pelog Pentatonic (approximated from 21edo)

  • 114/107
  • 126/107
  • 159/107
  • 170/107
  • 214/107


Mode 109

Main article: 109afdo

Primodal family: Over-109


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 122/109
  • 137/109
  • 145/109
  • 163/109
  • 183/109
  • 206/109
  • 218/109


Hansel (approximated from 101afdo)

  • 122/109
  • 136/109
  • 145/109
  • 163/109
  • 182/109
  • 204/109
  • 218/109


Palace (approximated from Porky in 29edo)

  • 120/109
  • 129/109
  • 145/109
  • 164/109
  • 180/109
  • 193/109
  • 218/109


Pelog Pentatonic (approximated from 21edo)

  • 116/109
  • 129/109
  • 162/109
  • 173/109
  • 218/109


Mode 113

Main article: 113afdo

Primodal family: Over-113


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 127/113
  • 142/113
  • 151/113
  • 169/113
  • 190/113
  • 213/113
  • 226/113


Hansel (approximated from 101afdo)

  • 127/113
  • 141/113
  • 151/113
  • 169/113
  • 189/113
  • 212/113
  • 226/113

125 to 150

Mode 127

Main article: 127afdo

Primodal family: Over-127


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 143/127
  • 159/127
  • 169/127
  • 191/127
  • 212/127
  • 238/127
  • 254/127


Hansel (approximated from 101afdo)

  • 143/127
  • 159/127
  • 170/127
  • 190/127
  • 212/127
  • 238/127
  • 254/127


Pelog Pentatonic (approximated from 21edo)

  • 136/127
  • 150/127
  • 189/127
  • 202/127
  • 254/127


Mode 131

Main article: 131afdo

Primodal family: Over-131


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 147/131
  • 164/131
  • 175/131
  • 197/131
  • 218/131
  • 246/131
  • 262/131


Cosmic (approximated from 32afdo)

  • 175/131
  • 196/131
  • 208/131
  • 234/131
  • 262/131


Hansel (approximated from 101afdo)

  • 147/131
  • 164/131
  • 175/131
  • 196/131
  • 219/131
  • 246/131
  • 262/131


Palace (approximated from Porky in 29edo)

  • 144/131
  • 155/131
  • 175/131
  • 197/131
  • 216/131
  • 232/131
  • 262/131


Pelog Pentatonic (approximated from 21edo)

  • 140/131
  • 155/131
  • 195/131
  • 208/131
  • 262/131


Mode 137

Main article: 137afdo

Primodal family: Over-137


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 154/137
  • 171/137
  • 183/137
  • 206/137
  • 228/137
  • 257/137
  • 274/137


Hansel (approximated from 101afdo)

  • 154/137
  • 171/137
  • 183/137
  • 205/137
  • 229/137
  • 257/137
  • 274/137


Pelog Pentatonic (approximated from 21edo)

  • 146/137
  • 162/137
  • 204/137
  • 217/137
  • 274/137


Mode 139

Main article: 139afdo

Primodal family: Over-139


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 156/139
  • 174/139
  • 185/139
  • 209/139
  • 232/139
  • 261/139
  • 278/139


Cosmic (approximated from 32afdo)

  • 186/139
  • 208/139
  • 221/139
  • 248/139
  • 278/139


Hansel (approximated from 101afdo)

  • 156/139
  • 174/139
  • 186/139
  • 208/139
  • 232/139
  • 261/139
  • 278/139


Palace (approximated from Porky in 29edo)

  • 153/139
  • 164/139
  • 185/139
  • 209/139
  • 230/139
  • 247/139
  • 278/139


Pelog Pentatonic (approximated from 21edo)

  • 148/139
  • 164/139
  • 207/139
  • 221/139
  • 278/139


Mode 149

Main article: 149afdo

Primodal family: Over-149


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 168/149
  • 186/149
  • 199/149
  • 224/149
  • 248/149
  • 279/149
  • 298/149


Cosmic (approximated from 32afdo)

  • 199/149
  • 223/149
  • 237/149
  • 266/149
  • 298/149


Hansel (approximated from 101afdo)

  • 167/149
  • 186/149
  • 199/149
  • 223/149
  • 249/149
  • 279/149
  • 298/149


Palace (approximated from Porky in 29edo)

  • 164/149
  • 176/149
  • 198/149
  • 224/149
  • 246/149
  • 264/149
  • 298/149

150 to 175

Mode 151

Main article: 151afdo

Primodal family: Over-151


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 170/151
  • 189/151
  • 201/151
  • 227/151
  • 252/151
  • 283/151
  • 302/151


Cosmic (approximated from 32afdo)

  • 202/151
  • 226/151
  • 240/151
  • 269/151
  • 302/151


Hansel (approximated from 101afdo)

  • 169/151
  • 189/151
  • 202/151
  • 226/151
  • 252/151
  • 283/151
  • 302/151


Palace (approximated from Porky in 29edo)

  • 166/151
  • 179/151
  • 201/151
  • 227/151
  • 249/151
  • 268/151
  • 302/151


Mode 157

Main article: 157afdo

Primodal family: Over-157


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 177/157
  • 196/157
  • 209/157
  • 236/157
  • 262/157
  • 294/157
  • 314/157


Hansel (approximated from 101afdo)

  • 176/157
  • 196/157
  • 210/157
  • 235/157
  • 262/157
  • 294/157
  • 314/157


Mode 163

Main article: 163afdo

Primodal family: Over-163


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 183/163
  • 204/163
  • 217/163
  • 245/163
  • 272/163
  • 306/163
  • 326/163


Cosmic (approximated from 32afdo)

  • 218/163
  • 244/163
  • 259/163
  • 291/163
  • 326/163


Hansel (approximated from 101afdo)

  • 183/163
  • 204/163
  • 218/163
  • 244/163
  • 272/163
  • 305/163
  • 326/163


Palace (approximated from Porky in 29edo)

  • 179/163
  • 193/163
  • 217/163
  • 245/163
  • 269/163
  • 289/163
  • 326/163


Mode 167

Main article: 167afdo

Primodal family: Over-167


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 187/167
  • 210/167
  • 223/167
  • 250/167
  • 281/167
  • 315/167
  • 334/167


Cosmic (approximated from 32afdo)

  • 223/167
  • 250/167
  • 265/167
  • 298/167
  • 334/167


Hansel (approximated from 101afdo)

  • 187/167
  • 209/167
  • 223/167
  • 250/167
  • 279/167
  • 313/167
  • 334/167


Pelog Pentatonic (approximated from 21edo)

  • 178/167
  • 197/167
  • 248/167
  • 265/167
  • 334/167


Mode 173

Main article: 173afdo

Primodal family: Over-173


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 194/173
  • 218/173
  • 231/173
  • 259/173
  • 291/173
  • 327/173
  • 346/173


Cosmic (approximated from 32afdo)

  • 231/173
  • 259/173
  • 275/173
  • 309/173
  • 346/173


Hansel (approximated from 101afdo)

  • 194/173
  • 216/173
  • 231/173
  • 259/173
  • 289/173
  • 324/173
  • 346/173


Palace (approximated from Porky in 29edo)

  • 190/173
  • 205/173
  • 230/173
  • 260/173
  • 286/173
  • 307/173
  • 346/173


Pelog Pentatonic (approximated from 21edo)

  • 185/173
  • 204/173
  • 257/173
  • 275/173
  • 346/173

175 to 200

Mode 179

Main article: 179afdo

Primodal family: Over-179


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 201/179
  • 224/179
  • 239/179
  • 269/179
  • 298/179
  • 336/179
  • 358/179


Cosmic (approximated from 32afdo)

  • 239/179
  • 268/179
  • 285/179
  • 319/179
  • 358/179


Hansel (approximated from 101afdo)

  • 201/179
  • 224/179
  • 239/179
  • 268/179
  • 299/179
  • 335/179
  • 358/179


Mode 181

Main article: 181afdo

Primodal family: Over-181


Cosmic (approximated from 32afdo)

  • 242/181
  • 271/181
  • 288/181
  • 323/181
  • 362/181


Hansel (approximated from 101afdo)

  • 203/181
  • 226/181
  • 242/181
  • 271/181
  • 302/181
  • 339/181
  • 362/181


Palace (approximated from Porky in 29edo)

  • 199/181
  • 214/181
  • 241/181
  • 272/181
  • 299/181
  • 321/181
  • 362/181


Pelog Pentatonic (approximated from 21edo)

  • 193/181
  • 213/181
  • 269/181
  • 287/181
  • 362/181


Mode 191

Main article: 191afdo

Primodal family: Over-191


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 214/191
  • 241/191
  • 255/191
  • 286/191
  • 321/191
  • 361/191
  • 382/191


Cosmic (approximated from 32afdo)

  • 255/191
  • 286/191
  • 304/191
  • 341/191
  • 382/191


Palace (approximated from Porky in 29edo)

  • 210/191
  • 226/191
  • 254/191
  • 287/191
  • 316/191
  • 339/191
  • 382/191


Mode 193

Main article: 193afdo

Primodal family: Over-193


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 217/193
  • 243/193
  • 258/193
  • 289/193
  • 325/193
  • 364/193
  • 386/193


Cosmic (approximated from 32afdo)

  • 258/193
  • 289/193
  • 307/193
  • 344/193
  • 386/193


Hansel (approximated from 101afdo)

  • 217/193
  • 241/193
  • 258/193
  • 289/193
  • 322/193
  • 362/193
  • 386/193


Palace (approximated from Porky in 29edo)

  • 212/193
  • 228/193
  • 257/193
  • 290/193
  • 319/193
  • 343/193
  • 386/193


Mode 197

Main article: 197afdo

Primodal family: Over-197


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 221/197
  • 248/197
  • 263/197
  • 295/197
  • 331/197
  • 372/197
  • 394/197


Cosmic (approximated from 32afdo)

  • 263/197
  • 295/197
  • 314/197
  • 351/197
  • 394/197


Hansel (approximated from 101afdo)

  • 221/197
  • 246/197
  • 263/197
  • 295/197
  • 329/197
  • 369/197
  • 394/197


Pelog Pentatonic (approximated from 21edo)

  • 210/197
  • 232/197
  • 293/197
  • 313/197
  • 394/197


Mode 199

Main article: 199afdo

Primodal family: Over-199


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 223/199
  • 251/199
  • 266/199
  • 298/199
  • 335/199
  • 376/199
  • 398/199


Cosmic (approximated from 32afdo)

  • 266/199
  • 298/199
  • 317/199
  • 355/199
  • 398/199


Hansel (approximated from 101afdo)

  • 223/199
  • 249/199
  • 266/199
  • 298/199
  • 332/199
  • 373/199
  • 398/199


Palace (approximated from Porky in 29edo)

  • 219/199
  • 235/199
  • 265/199
  • 299/199
  • 329/199
  • 353/199
  • 398/199


Pelog Pentatonic (approximated from 21edo)

  • 213/199
  • 235/199
  • 296/199
  • 316/199
  • 398/199

Odd squarefree semiprime modes

50 to 75

Mode 51

Main article: 51afdo

Primodal families: Over-17 and Over-3


Cosmic (approximated from 32afdo)

  • 68/51
  • 76/51
  • 81/51
  • 91/51
  • 102/51


Evened Minor Hexatonic (approximated from Compton in 96edo)

  • 57/51
  • 61/51
  • 68/51
  • 76/51
  • 90/51
  • 102/51


Evened Phrygian Dominant Hexatonic (approximated from Compton in 96edo)

  • 54/51
  • 64/51
  • 68/51
  • 77/51
  • 90/51
  • 102/51


Flattened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 60/51
  • 68/51
  • 76/51
  • 80/51
  • 102/51


Flattened Blues Minor Maj7 (approximated from Compton in 96edo)

  • 60/51
  • 68/51
  • 72/51
  • 76/51
  • 96/51
  • 102/51


Hansel (approximated from 101afdo)

  • 57/51
  • 64/51
  • 68/51
  • 76/51
  • 85/51
  • 96/51
  • 102/51


Pelog Pentatonic (approximated from 21edo)

  • 54/51
  • 60/51
  • 76/51
  • 81/51
  • 102/51


Roughened Blues Dorian Pentatonic (approximated from Compton in 96edo)

  • 61/51
  • 76/51
  • 86/51
  • 90/51
  • 102/51


Sharpened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 61/51
  • 77/51
  • 81/51
  • 91/51
  • 102/51


Sharpened Blues Dorian Hexatonic (approximated from Compton in 96edo)

  • 61/51
  • 68/51
  • 77/51
  • 86/51
  • 92/51
  • 102/51


Sharpened Blues Harmonic Septatonic (approximated from Compton in 96edo)

  • 61/51
  • 69/51
  • 73/51
  • 77/51
  • 82/51
  • 97/51
  • 102/51


Sharpened Dorian Harmonic (approximated from Compton in 96edo)

  • 58/51
  • 61/51
  • 73/51
  • 77/51
  • 86/51
  • 92/51
  • 102/51


Sharpened Hirajoshi (approximated from Compton in 96edo)

  • 57/51
  • 61/51
  • 76/51
  • 82/51
  • 102/51


Sharpened Akebono I (approximated from Compton in 96edo)

  • 57/51
  • 61/51
  • 76/51
  • 86/51
  • 102/51


Sharpened Minor Pentatonic (approximated from Compton in 96edo)

  • 61/51
  • 68/51
  • 76/51
  • 92/51
  • 102/51


Sourgummy

(NEJI 5edo)

  • 59/51
  • 67/51
  • 77/51
  • 89/51
  • 102/51


Mode 55

Main article: 55afdo

Primodal families: Over-11 and Over-5


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 62/55
  • 69/55
  • 73/55
  • 82/55
  • 92/55
  • 104/55
  • 110/55


Cosmic (approximated from 32afdo)

  • 73/55
  • 82/55
  • 87/55
  • 98/55
  • 110/55


Evened Major (approximated from Compton in 96edo)

  • 62/55
  • 69/55
  • 73/55
  • 83/55
  • 92/55
  • 103/55
  • 110/55


Evened Minor Hexatonic (approximated from Compton in 96edo)

  • 61/55
  • 66/55
  • 74/55
  • 82/55
  • 97/55
  • 110/55


Evened Phrygian Dominant Hexatonic (approximated from Compton in 96edo)

  • 58/55
  • 69/55
  • 73/55
  • 83/55
  • 97/55
  • 110/55


Flattened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 65/55
  • 73/55
  • 82/55
  • 87/55
  • 110/55


Flattened Blues Minor Maj7 (approximated from Compton in 96edo)

  • 65/55
  • 74/55
  • 78/55
  • 82/55
  • 104/55
  • 110/55


Hansel (approximated from 101afdo)

  • 62/55
  • 69/55
  • 73/55
  • 82/55
  • 92/55
  • 103/55
  • 110/55


Sharpened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 66/55
  • 83/55
  • 87/55
  • 98/55
  • 110/55


Sharpened Blues Dorian Hexatonic (approximated from Compton in 96edo)

  • 66/55
  • 74/55
  • 83/55
  • 92/55
  • 99/55
  • 110/55


Sharpened Dorian Harmonic (approximated from Compton in 96edo)

  • 62/55
  • 66/55
  • 78/55
  • 83/55
  • 93/55
  • 99/55
  • 110/55


Sharpened Hirajoshi (approximated from Compton in 96edo)

  • 62/55
  • 66/55
  • 82/55
  • 88/55
  • 110/55


Sharpened Akebono I (approximated from Compton in 96edo)

  • 62/55
  • 66/55
  • 82/55
  • 92/55
  • 110/55


Sharpened Minor Pentatonic (approximated from Compton in 96edo)

  • 66/55
  • 74/55
  • 82/55
  • 99/55
  • 110/55


Mode 57

Main article: 57afdo

Primodal families: Over-19 and Over-3


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 64/57
  • 72/57
  • 76/57
  • 85/57
  • 96/57
  • 108/57
  • 114/57


Cosmic (approximated from 32afdo)

  • 76/57
  • 85/57
  • 91/57
  • 102/57
  • 114/57


Evened Minor Hexatonic (approximated from Compton in 96edo)

  • 64/57
  • 68/57
  • 76/57
  • 85/57
  • 101/57
  • 114/57


Evened Phrygian Dominant Hexatonic (approximated from Compton in 96edo)

  • 61/57
  • 71/57
  • 76/57
  • 86/57
  • 101/57
  • 114/57


Hansel (approximated from 101afdo)

  • 64/57
  • 71/57
  • 76/57
  • 85/57
  • 95/57
  • 107/57
  • 114/57


Palace (approximated from Porky in 29edo)

  • 63/57
  • 67/57
  • 76/57
  • 86/57
  • 94/57
  • 101/57
  • 114/57


Sharpened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 68/57
  • 86/57
  • 90/57
  • 102/57
  • 114/57


Sharpened Blues Dorian Hexatonic (approximated from Compton in 96edo)

  • 68/57
  • 77/57
  • 86/57
  • 96/57
  • 102/57
  • 114/57


Sharpened Blues Harmonic Septatonic (approximated from Compton in 96edo)

  • 68/57
  • 77/57
  • 81/57
  • 86/57
  • 91/57
  • 108/57
  • 114/57


Sharpened Dorian Harmonic (approximated from Compton in 96edo)

  • 64/57
  • 68/57
  • 81/57
  • 86/57
  • 97/57
  • 102/57
  • 114/57


Sharpened Hirajoshi (approximated from Compton in 96edo)

  • 64/57
  • 68/57
  • 85/57
  • 91/57
  • 114/57


Sharpened Akebono I (approximated from Compton in 96edo)

  • 64/57
  • 68/57
  • 85/57
  • 96/57
  • 114/57


Sharpened Minor Pentatonic (approximated from Compton in 96edo)

  • 68/57
  • 76/57
  • 85/57
  • 102/57
  • 114/57


Mode 65

Main article: 65afdo

Primodal families: Over-13 and Over-5


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 73/65
  • 82/65
  • 87/65
  • 97/65
  • 109/65
  • 123/65
  • 130/65


Cosmic (approximated from 32afdo)

  • 87/65
  • 97/65
  • 103/65
  • 116/65
  • 130/65


Evened Minor Hexatonic (approximated from Compton in 96edo)

  • 72/65
  • 78/65
  • 87/65
  • 97/65
  • 115/65
  • 130/65


Evened Phrygian Dominant Hexatonic (approximated from Compton in 96edo)

  • 69/65
  • 81/65
  • 87/65
  • 98/65
  • 115/65
  • 130/65


Flattened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 77/65
  • 86/65
  • 97/65
  • 102/65
  • 130/65


Flattened Blues Minor Maj7 (approximated from Compton in 96edo)

  • 77/65
  • 87/65
  • 92/65
  • 97/65
  • 123/65
  • 130/65


Hansel (approximated from 101afdo)

  • 73/65
  • 81/65
  • 87/65
  • 97/65
  • 109/65
  • 122/65
  • 130/65


Palace (approximated from Porky in 29edo)

  • 72/65
  • 77/65
  • 87/65
  • 98/65
  • 107/65
  • 115/65
  • 130/65


Pelog Pentatonic (approximated from 21edo)

  • 69/65
  • 77/65
  • 97/65
  • 103/65
  • 130/65


Sharpened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 78/65
  • 98/65
  • 103/65
  • 116/65
  • 130/65


Sharpened Blues Dorian Hexatonic (approximated from Compton in 96edo)

  • 78/65
  • 87/65
  • 98/65
  • 109/65
  • 117/65
  • 130/65


Sharpened Dorian Harmonic (approximated from Compton in 96edo)

  • 73/65
  • 78/65
  • 93/65
  • 98/65
  • 110/65
  • 117/65
  • 130/65


Sharpened Hirajoshi (approximated from Compton in 96edo)

  • 73/65
  • 78/65
  • 97/65
  • 104/65
  • 130/65


Sharpened Akebono I (approximated from Compton in 96edo)

  • 73/65
  • 78/65
  • 97/65
  • 109/65
  • 130/65


Sharpened Minor Pentatonic (approximated from Compton in 96edo)

  • 78/65
  • 87/65
  • 97/65
  • 117/65
  • 130/65


Mode 69

Main article: 69afdo

Primodal families: Over-23 and Over-3


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 77/69
  • 87/69
  • 92/69
  • 103/69
  • 116/69
  • 130/69
  • 138/69


Cosmic (approximated from 32afdo)

  • 92/69
  • 103/69
  • 110/69
  • 123/69
  • 138/69


Hansel (approximated from 101afdo)

  • 77/69
  • 86/69
  • 92/69
  • 103/69
  • 115/69
  • 129/69
  • 138/69


Pelog Pentatonic (approximated from 21edo)

  • 73/69
  • 82/69
  • 103/69
  • 109/69
  • 138/69


Sharpened Dorian Harmonic (approximated from Compton in 96edo)

  • 78/69
  • 83/69
  • 98/69
  • 104/69
  • 117/69
  • 124/69
  • 138/69


Sharpened Minor Pentatonic (approximated from Compton in 96edo)

  • 83/69
  • 92/69
  • 103/69
  • 124/69
  • 138/69

75 to 100

Mode 77

Main article: 77afdo

Primodal families: Over-11 and Over-7


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 86/77
  • 97/77
  • 103/77
  • 115/77
  • 129/77
  • 145/77
  • 154/77


Cosmic (approximated from 32afdo

  • 103/77
  • 115/77
  • 123/77
  • 137/77
  • 154/77


Hansel (approximated from 101afdo)

  • 86/77
  • 96/77
  • 103/77
  • 115/77
  • 129/77
  • 144/77
  • 154/77


Pelog Pentatonic (approximated from 21edo)

  • 82/77
  • 91/77
  • 115/77
  • 122/77
  • 154/77


Mode 85

Main article: 85afdo

Primodal families: Over-17 and Over-5


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 95/85
  • 107/85
  • 113/85
  • 127/85
  • 143/85
  • 160/85
  • 170/85


Cosmic (approximated from 32afdo

  • 114/85
  • 127/85
  • 135/85
  • 152/85
  • 170/85


Palace (approximated from Porky in 29edo)

  • 94/85
  • 100/85
  • 113/85
  • 128/85
  • 140/85
  • 151/85
  • 170/85


Pelog Pentatonic (approximated from 21edo)

  • 91/85
  • 100/85
  • 126/85
  • 135/85
  • 170/85


Mode 87

Main article: 87afdo

Primodal families: Over-29 and Over-3


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 98/87
  • 109/87
  • 116/87
  • 131/87
  • 146/87
  • 163/87
  • 174/87


Cosmic (approximated from 32afdo)

  • 116/87
  • 130/87
  • 138/87
  • 155/87
  • 174/87


Pelog Pentatonic (approximated from 21edo)

  • 93/87
  • 103/87
  • 129/87
  • 138/87
  • 174/87


Mode 91

Main article: 91afdo

Primodal families: Over-13 and Over-7


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 102/91
  • 114/91
  • 121/91
  • 137/91
  • 152/91
  • 171/91
  • 182/91


Cosmic (approximated from 32afdo)

  • 122/91
  • 136/91
  • 145/91
  • 162/91
  • 182/91


Pelog Pentatonic (approximated from 21edo)

  • 97/91
  • 107/91
  • 135/91
  • 144/91
  • 182/91


Mode 93

Main article: 93afdo

Primodal families: Over-31 and Over-3


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 104/93
  • 117/93
  • 124/93
  • 139/93
  • 156/93
  • 176/93
  • 186/93


Cosmic (approximated from 32afdo)

  • 124/93
  • 139/93
  • 148/93
  • 166/93
  • 186/93


Hansel (approximated from 101afdo)

  • 104/93
  • 116/93
  • 124/93
  • 139/93
  • 155/93
  • 174/93
  • 186/93


Pelog Pentatonic (approximated from 21edo)

  • 99/93
  • 110/93
  • 138/93
  • 148/93
  • 186/93


Mode 95

Main article: 95afdo

Primodal families: Over-19 and Over-5


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 107/95
  • 120/95
  • 127/95
  • 142/95
  • 160/95
  • 179/95
  • 190/95


Cosmic (approximated from 32afdo)

  • 127/95
  • 142/95
  • 151/95
  • 169/95
  • 190/95


Hansel (approximated from 101afdo)

  • 107/95
  • 119/95
  • 127/95
  • 142/95
  • 159/95
  • 178/95
  • 190/95


100 to 125

Mode 111

Main article: 111afdo

Primodal families: Over-37 and Over-3


Cosmic (approximated from 32afdo)

  • 148/111
  • 166/111
  • 176/111
  • 198/111
  • 222/111


Mode 115

Main article: 115afdo

Primodal families: Over-23 and Over-5


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 129/115
  • 145/115
  • 154/115
  • 172/115
  • 193/115
  • 217/115
  • 230/115


Cosmic (approximated from 32afdo)

  • 154/115
  • 172/115
  • 183/115
  • 205/115
  • 230/115


Hansel (approximated from 101afdo)

  • 129/115
  • 144/115
  • 154/115
  • 172/115
  • 192/115
  • 216/115
  • 230/115


Mode 119

Main article: 119afdo

Primodal families: Over-17 and Over-7


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 134/119
  • 150/119
  • 159/119
  • 178/119
  • 200/119
  • 225/119
  • 238/119


Cosmic (approximated from 32afdo)

  • 159/119
  • 178/119
  • 189/119
  • 212/119
  • 238/119


Hansel (approximated from 101afdo)

  • 134/119
  • 149/119
  • 159/119
  • 178/119
  • 199/119
  • 223/119
  • 238/119


Palace (approximated from Porky in 29edo)

  • 131/119
  • 141/119
  • 159/119
  • 179/119
  • 197/119
  • 211/119
  • 238/119


Pelog Pentatonic (approximated from 21edo)

  • 127/119
  • 140/119
  • 177/119
  • 189/119
  • 238/119


Mode 123

Main article: 123afdo

Primodal families: Over-41 and Over-3


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 138/123
  • 155/123
  • 164/123
  • 184/123
  • 207/123
  • 232/123
  • 246/123


Cosmic (approximated from 32afdo)

  • 164/123
  • 184/123
  • 196/123
  • 219/123
  • 246/123


Palace (approximated from Porky in 29edo)

  • 135/123
  • 145/123
  • 164/123
  • 185/123
  • 203/123
  • 218/123
  • 246/123

125 to 150

Mode 129

Main article: 129afdo

Primodal families: Over-43 and Over-3


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 145/129
  • 163/129
  • 172/129
  • 193/129
  • 217/129
  • 244/129
  • 258/129


Cosmic (approximated from 32afdo)

  • 172/129
  • 193/129
  • 205/129
  • 230/129
  • 258/129


Palace (approximated from Porky in 29edo)

  • 142/129
  • 152/129
  • 172/129
  • 194/129
  • 213/129
  • 229/129
  • 258/129


Pelog Pentatonic (approximated from 21edo)

  • 138/129
  • 152/129
  • 192/129
  • 205/129
  • 258/129


Mode 133

Main article: 133afdo

Primodal families: Over-19 and Over-7


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 149/133
  • 168/133
  • 178/133
  • 199/133
  • 224/133
  • 251/133
  • 266/133


Cosmic (approximated from 32afdo)

  • 178/133
  • 199/133
  • 212/133
  • 237/133
  • 266/133


Pelog Pentatonic (approximated from 21edo)

  • 142/133
  • 157/133
  • 198/133
  • 211/133
  • 266/133


Mode 141

Main article: 141afdo

Primodal families: Over-47 and Over-3


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 158/141
  • 178/141
  • 188/141
  • 211/141
  • 237/141
  • 266/141
  • 282/141


Hansel (approximated from 101afdo)

  • 158/141
  • 176/141
  • 188/141
  • 211/141
  • 235/141
  • 264/141
  • 282/141


Palace (approximated from Porky in 29edo)

  • 155/141
  • 167/141
  • 188/141
  • 212/141
  • 233/141
  • 250/141
  • 282/141


Pelog Pentatonic (approximated from 21edo)

  • 151/141
  • 166/141
  • 210/141
  • 224/141
  • 282/141


Mode 143

Main article: 143afdo

Primodal families: Over-13 and Over-11


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 161/143
  • 180/143
  • 191/143
  • 214/143
  • 240/143
  • 270/143
  • 286/143


Cosmic (approximated from 32afdo)

  • 191/143
  • 214/143
  • 228/143
  • 255/143
  • 286/143


Hansel (approximated from 101afdo)

  • 161/143
  • 179/143
  • 191/143
  • 214/143
  • 239/143
  • 268/143
  • 286/143


Palace (approximated from Porky in 29edo)

  • 157/143
  • 169/143
  • 191/143
  • 215/143
  • 236/143
  • 254/143
  • 286/143


Pelog Pentatonic (approximated from 21edo)

  • 153/143
  • 169/143
  • 213/143
  • 227/143
  • 286/143


Mode 145

Main article: 145afdo

Primodal families: Over-29 and Over-5


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 163/145
  • 181/145
  • 193/145
  • 218/145
  • 242/145
  • 272/145
  • 290/145


Cosmic (approximated from 32afdo)

  • 194/145
  • 217/145
  • 231/145
  • 259/145
  • 290/145


Hansel (approximated from 101afdo)

  • 163/145
  • 181/145
  • 194/145
  • 217/145
  • 242/145
  • 272/145
  • 290/145

150 to 175

Mode 155

Main article: 155afdo

Primodal families: Over-31 and Over-5


Cosmic (approximated from 32afdo)

  • 207/155
  • 232/155
  • 247/155
  • 277/155
  • 310/155


Hansel (approximated from 101afdo)

  • 174/155
  • 194/155
  • 207/155
  • 232/155
  • 259/155
  • 290/155
  • 310/155


Palace (approximated from Porky in 29edo)

  • 171/155
  • 183/155
  • 206/155
  • 233/155
  • 256/155
  • 275/155
  • 310/155


Pelog Pentatonic (approximated from 21edo)

  • 166/155
  • 183/155
  • 230/155
  • 246/155
  • 310/155


Mode 159

Main article: 159afdo

Primodal families: Over-53 and Over-3


Cosmic (approximated from 32afdo)

  • 212/159
  • 238/159
  • 253/159
  • 284/159
  • 318/159


Hansel (approximated from 101afdo)

  • 178/159
  • 199/159
  • 212/159
  • 238/159
  • 265/159
  • 298/159
  • 318/159


Palace (approximated from Porky in 29edo)

  • 175/159
  • 188/159
  • 212/159
  • 239/159
  • 263/159
  • 282/159
  • 318/159


Pelog Pentatonic (approximated from 21edo)

  • 170/159
  • 188/159
  • 236/159
  • 252/159
  • 318/159


Mode 161

Main article: 161afdo

Primodal families: Over-23 and Over-7


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 181/161
  • 203/161
  • 215/161
  • 241/161
  • 271/161
  • 304/161
  • 322/161


Cosmic (approximated from 32afdo)

  • 215/161
  • 241/161
  • 256/161
  • 287/161
  • 322/161


Hansel (approximated from 101afdo)

  • 181/161
  • 201/161
  • 215/161
  • 241/161
  • 269/161
  • 302/161
  • 322/161


Palace (approximated from Porky in 29edo)

  • 177/161
  • 190/161
  • 214/161
  • 242/161
  • 266/161
  • 286/161
  • 322/161


Pelog Pentatonic (approximated from 21edo)

  • 172/161
  • 191/161
  • 239/161
  • 256/161
  • 322/161


Mode 177

Main article: 177afdo

Primodal families: Over-59 and Over-3


Cosmic (approximated from 32afdo)

  • 236/177
  • 265/177
  • 282/177
  • 316/177
  • 354/177


Palace (approximated from Porky in 29edo)

  • 195/177
  • 209/177
  • 236/177
  • 266/177
  • 292/177
  • 314/177
  • 354/177


Pelog Pentatonic (approximated from 21edo)

  • 189/177
  • 209/177
  • 263/177
  • 281/177
  • 354/177

175 to 200

Mode 183

Main article: 183afdo

Primodal families: Over-61 and Over-3


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 206/183
  • 229/183
  • 244/183
  • 275/183
  • 305/183
  • 343/183
  • 366/183


Cosmic (approximated from 32afdo)

  • 244/183
  • 274/183
  • 291/183
  • 326/183
  • 366/183


Evened Major (approximated from Compton in 96edo)

  • 205/183
  • 231/183
  • 244/183
  • 274/183
  • 308/183
  • 345/183
  • 366/183


Hansel (approximated from 101afdo)

  • 205/183
  • 229/183
  • 244/183
  • 274/183
  • 306/183
  • 343/183
  • 366/183


Palace (approximated from Porky in 29edo)

  • 201/183
  • 216/183
  • 244/183
  • 275/183
  • 302/183
  • 325/183
  • 366/183


Pelog Pentatonic (approximated from 21edo)

  • 195/183
  • 216/183
  • 272/183
  • 290/183
  • 366/183


Mode 185

Main article: 185afdo

Primodal families: Over-37 and Over-5


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 208/185
  • 233/185
  • 247/185
  • 277/185
  • 311/185
  • 349/185
  • 370/185


Cosmic (approximated from 32afdo)

  • 247/185
  • 277/185
  • 294/185
  • 330/185
  • 370/185


Hansel (approximated from 101afdo)

  • 208/185
  • 231/185
  • 247/185
  • 277/185
  • 309/185
  • 347/185
  • 370/185


Pelog Pentatonic (approximated from 21edo)

  • 198/185
  • 218/185
  • 275/185
  • 294/185
  • 370/185


Mode 187

Main article: 87afdo

Primodal families: Over-17 and Over-11


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 210/187
  • 236/187
  • 250/187
  • 280/187
  • 314/187
  • 353/187
  • 374/187


Cosmic (approximated from 32afdo)

  • 250/187
  • 280/187
  • 298/187
  • 334/187
  • 374/187


Evened Major (approximated from Compton in 96edo)

  • 210/187
  • 236/187
  • 250/187
  • 280/187
  • 314/187
  • 353/187
  • 374/187


Hansel (approximated from 101afdo)

  • 210/187
  • 234/187
  • 250/187
  • 280/187
  • 312/187
  • 350/187
  • 374/187


Palace (approximated from Porky in 29edo)

  • 206/187
  • 221/187
  • 249/187
  • 281/187
  • 309/187
  • 332/187
  • 374/187


Pelog Pentatonic (approximated from 21edo)

  • 200/187
  • 221/187
  • 278/187
  • 297/187
  • 374/187

Prime power modes

Specifically OEIS A025475.

40 to 100

Mode 49

Main article: 49afdo

Prime factorisation: 7^2


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 55/49
  • 62/49
  • 66/49
  • 73/49
  • 82/49
  • 92/49
  • 98/49


Cosmic (appoximated from 32afdo)

  • 66/49
  • 74/49
  • 78/49
  • 87/49
  • 98/49


Evened Phrygian Dominant Hexatonic (approximated from Compton in 96edo)

  • 52/49
  • 61/49
  • 65/49
  • 74/49
  • 87/49
  • 98/49


Flattened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 58/49
  • 65/49
  • 73/49
  • 77/49
  • 98/49


Flattened Blues Minor Maj7 (approximated from Compton in 96edo)

  • 58/49
  • 65/49
  • 69/49
  • 73/49
  • 92/49
  • 98/49


Hansel (approximated from 101afdo)

  • 55/49
  • 61/49
  • 65/49
  • 73/49
  • 82/49
  • 92/49
  • 98/49


Palace (approximated from Porky in 29edo)

  • 54/49
  • 58/49
  • 65/49
  • 74/49
  • 81/49
  • 87/49
  • 98/49


Roughened Blues Dorian Pentatonic (approximated from Compton in 96edo)

  • 58/49
  • 73/49
  • 83/49
  • 87/49
  • 98/49


Sharpened Blues Harmonic Septatonic (approximated from Compton in 96edo)

  • 59/49
  • 66/49
  • 70/49
  • 74/49
  • 78/49
  • 93/49
  • 98/49


Sharpened Hirajoshi (approximated from Compton in 96edo)

  • 55/49
  • 59/49
  • 73/49
  • 78/49
  • 98/49


Sharpened Kokin-Joshi (approximated from Compton in 96edo)

  • 55/49
  • 59/49
  • 73/49
  • 82/49
  • 98/49


Sharpened Pelog Pentatonic (compromise between 21edo and 17edo)

  • 53/49
  • 59/49
  • 73/49
  • 79/49
  • 98/49


Mode 64

Main article: 64afdo

Prime factorisation: 2^6

Already covered earlier (contained within mode 128). See "high octaves of prime modes".


Mode 81

Main article: 81afdo

Prime factorisation: 3^4


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 91/81
  • 101/81
  • 108/81
  • 122/81
  • 135/81
  • 152/81
  • 162/81


Cosmic (approximated from 32afdo)

  • 108/81
  • 121/81
  • 129/81
  • 144/81
  • 162/81


Evened Phrygian Dominant Hexatonic (approximated from Compton in 96edo)

  • 86/81
  • 101/81
  • 108/81
  • 122/81
  • 143/81
  • 162/81


Flattened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 96/81
  • 107/81
  • 120/81
  • 128/81
  • 162/81


Hansel (approximated from 101afdo)

  • 91/81
  • 101/81
  • 108/81
  • 121/81
  • 135/81
  • 152/81
  • 162/81


Palace (approximated from Porky in 29edo)

  • 89/81
  • 96/81
  • 108/81
  • 122/81
  • 134/81
  • 144/81
  • 162/81


Sharpened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 97/81
  • 122/81
  • 129/81
  • 144/81
  • 162/81


Sharpened Blues Dorian Hexatonic (approximated from Compton in 96edo)

  • 97/81
  • 109/81
  • 122/81
  • 136/81
  • 145/81
  • 162/81


Sharpened Dorian Harmonic (approximated from Compton in 96edo)

  • 92/81
  • 97/81
  • 115/81
  • 122/81
  • 137/81
  • 145/81
  • 162/81


Sharpened Hirajoshi (approximated from Compton in 96edo)

  • 91/81
  • 97/81
  • 121/81
  • 130/81
  • 162/81

100 to 200

Mode 121

Main article: 121afdo

Prime factorisation: 11^2


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 135/121
  • 151/121
  • 162/121
  • 182/121
  • 202/121
  • 228/121
  • 242/121


Cosmic (approximated from 32afdo)

  • 162/121
  • 181/121
  • 192/121
  • 216/121
  • 242/121


Evened Minor Hexatonic (approximated from Compton in 96edo)

  • 135/121
  • 145/121
  • 162/121
  • 181/121
  • 214/121
  • 242/121


Evened Phrygian Dominant Hexatonic (approximated from Compton in 96edo)

  • 129/121
  • 151/121
  • 162/121
  • 183/121
  • 214/121
  • 242/121


Flattened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 143/121
  • 160/121
  • 180/121
  • 191/121
  • 242/121


Hansel (approximated from 101afdo

  • 136/121
  • 151/121
  • 162/121
  • 181/121
  • 202/121
  • 227/121
  • 242/121


Palace (approximated from Porky in 29edo)

  • 133/121
  • 143/121
  • 161/121
  • 182/121
  • 200/121
  • 215/121
  • 242/121


Sharpened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 145/121
  • 183/121
  • 192/121
  • 216/121
  • 242/121


Sharpened Blues Dorian Hexatonic (approximated from Compton in 96edo)

  • 145/121
  • 163/121
  • 183/121
  • 203/121
  • 217/121
  • 242/121


Sharpened Blues Harmonic Septatonic (approximated from Compton in 96edo)

  • 145/121
  • 163/121
  • 172/121
  • 183/121
  • 193/121
  • 230/121
  • 242/121


Sharpened Dorian Harmonic (approximated from Compton in 96edo)

  • 137/121
  • 145/121
  • 172/121
  • 183/121
  • 205/121
  • 217/121
  • 242/121


Sharpened Hirajoshi (approximated from Compton in 96edo)

  • 136/121
  • 145/121
  • 181/121
  • 193/121
  • 242/121


Sharpened Kokin-Joshi (approximated from Compton in 96edo)

  • 136/121
  • 145/121
  • 181/121
  • 203/121
  • 242/121


Sharpened Minor Pentatonic (approximated from Compton in 96edo)

  • 145/121
  • 162/121
  • 181/121
  • 217/121
  • 242/121


Mode 125

Main article: 125afdo

Prime factorisation: 5^3


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 140/125
  • 157/125
  • 167/125
  • 188/125
  • 210/125
  • 236/125
  • 250/125


Evened Minor Hexatonic (approximated from Compton in 96edo)

  • 139/125
  • 150/125
  • 167/125
  • 187/125
  • 221/125
  • 250/125


Evened Phrygian Dominant Hexatonic (approximated from Compton in 96edo)

  • 133/125
  • 156/125
  • 167/125
  • 189/125
  • 221/125
  • 250/125


Flattened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 148/125
  • 166/125
  • 186/125
  • 197/125
  • 250/125


Flattened Blues Minor Maj7 (approximated from Compton in 96edo)

  • 148/125
  • 167/125
  • 177/125
  • 187/125
  • 236/125
  • 250/125


Hansel (approximated from Compton in 96edo)

  • 140/125
  • 156/125
  • 167/125
  • 187/125
  • 209/125
  • 234/125
  • 250/125


Palace (approximated from Porky in 29edo)

  • 138/125
  • 148/125
  • 167/125
  • 188/125
  • 206/125
  • 222/125
  • 250/125


Roughened Blues Dorian Pentatonic (approximated from Compton in 96edo)

  • 149/125
  • 187/125
  • 212/125
  • 221/125
  • 250/125


Sharpened Blues Dorian Hexatonic (approximated from Compton in 96edo)

  • 150/125
  • 168/125
  • 189/125
  • 210/125
  • 224/125
  • 250/125


Sharpened Dorian Harmonic (approximated from Compton in 96edo)

  • 141/125
  • 150/125
  • 178/125
  • 189/125
  • 212/125
  • 224/125
  • 250/125


Sharpened Hirajoshi (approximated from Compton in 96edo)

  • 140/125
  • 150/125
  • 187/125
  • 200/125
  • 250/125


Sharpened Kokin-Joshi (approximated from Compton in 96edo)

  • 140/125
  • 150/125
  • 187/125
  • 210/125
  • 250/125


Mode 128

Main article: 128afdo

Prime factorisation: 2^7

Already covered earlier. See "high octaves of prime modes".


Mode 169

Main article: 169afdo

Prime factorisation: 13^2


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 190/169
  • 213/169
  • 226/169
  • 254/169
  • 285/169
  • 320/169
  • 338/169


Cosmic (approximated from 32afdo)

  • 226/169
  • 254/169
  • 269/169
  • 304/169
  • 338/169


Evened Minor Hexatonic (approximated from Compton in 96edo)

  • 188/169
  • 202/169
  • 226/169
  • 253/169
  • 299/169
  • 338/169


Evened Phrygian Dominant Hexatonic (approximated from Compton in 96edo)

  • 180/169
  • 211/169
  • 226/169
  • 255/169
  • 299/169
  • 338/169


Flattened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 200/169
  • 224/169
  • 251/169
  • 266/169
  • 338/169


Flattened Blues Minor Maj7 (approximated from Compton in 96edo)

  • 200/169
  • 226/169
  • 239/169
  • 253/169
  • 319/169
  • 338/169


Hansel (approximated from 101afdo)

  • 190/169
  • 211/169
  • 226/169
  • 253/169
  • 282/169
  • 317/169
  • 338/169


Sharpened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 202/169
  • 255/169
  • 268/169
  • 301/169
  • 338/169


Sharpened Blues Dorian Hexatonic (approximated from Compton in 96edo)

  • 202/169
  • 227/169
  • 255/169
  • 284/169
  • 303/169
  • 338/169


Sharpened Blues Harmonic Septatonic (approximated from Compton in 96edo)

  • 202/169
  • 227/169
  • 241/169
  • 255/169
  • 270/169
  • 321/169
  • 338/169


Sharpened Dorian Harmonic (approximated from Compton in 96edo)

  • 191/169
  • 202/169
  • 241/169
  • 255/169
  • 286/169
  • 303/169
  • 338/169


Sharpened Hirajoshi (approximated from Compton in 96edo)

  • 190/169
  • 202/169
  • 253/169
  • 270/169
  • 338/169


Sharpened Kokin-Joshi (approximated from Compton in 96edo)

  • 190/169
  • 202/169
  • 253/169
  • 284/169
  • 338/169


Lowest common multiple modes

Mode 60

Main article: 60afdo

Lowest common multiple of: 1, 2, 3, 4, 5, 6


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 67/60
  • 76/60
  • 80/60
  • 90/60
  • 101/60
  • 113/60
  • 120/60


Antipental blues (approximated from Dwarf17marv)

  • 70/60
  • 80/60
  • 83/60
  • 90/60
  • 105/60
  • 120/60


Bubblegum

NEJI of 5edo.

  • 69/60
  • 79/60
  • 91/60
  • 104/60
  • 120/60


Cyberspace (exact from 10afdo)

  • 72/60
  • 90/60
  • 96/60
  • 108/60
  • 120/60


Evened Minor Hexatonic (approximated from Compton in 96edo)

  • 67/60
  • 72/60
  • 80/60
  • 90/60
  • 106/60
  • 120/60


Evened Phrygian Dominant Hexatonic (approximated from Compton in 96edo)

  • 64/60
  • 75/60
  • 80/60
  • 91/60
  • 106/60
  • 120/60


Flattened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 71/60
  • 80/60
  • 89/60
  • 95/60
  • 120/60


Flattened Blues Minor Maj7 (approximated from Compton in 96edo)

  • 71/60
  • 80/60
  • 85/60
  • 90/60
  • 113/60
  • 120/60


Freeway (a.k.a. mode 6 of the harmonic series) (exact from 6afdo)

  • 70/60
  • 80/60
  • 90/60
  • 100/60
  • 110/60
  • 120/60


Geode (exact from 6afdo

  • 70/60
  • 80/60
  • 90/60
  • 110/60
  • 120/60


Mushroom (exact from 30afdo)

  • 70/60
  • 80/60
  • 90/60
  • 94/60
  • 120/60


Palace (approximated from Porky in 29edo)

  • 66/60
  • 72/60
  • 80/60
  • 90/60
  • 99/60
  • 108/60
  • 120/60


Pelog Pentatonic (approximated from 21edo)

  • 64/60
  • 71/60
  • 89/60
  • 95/60
  • 120/60


Sharpened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 72/60
  • 91/60
  • 95/60
  • 107/60
  • 120/60


Sharpened Blues Dorian Hexatonic (approximated from Compton in 96edo)

  • 72/60
  • 81/60
  • 91/60
  • 101/60
  • 108/60
  • 120/60


Sharpened Blues Harmonic Septatonic (approximated from Compton in 96edo)

  • 72/60
  • 81/60
  • 85/60
  • 91/60
  • 96/60
  • 114/60
  • 120/60


Sharpened Dorian Harmonic (approximated from Compton in 96edo)

  • 68/60
  • 72/60
  • 85/60
  • 91/60
  • 102/60
  • 108/60
  • 120/60


Sharpened Hirajoshi (approximated from Compton in 96edo)

  • 67/60
  • 72/60
  • 90/60
  • 96/60
  • 120/60


Sharpened Akebono I (approximated from Compton in 96edo)

  • 67/60
  • 72/60
  • 90/60
  • 101/60
  • 120/60


Sharpened Minor Pentatonic (approximated from Compton in 96edo)

  • 72/60
  • 80/60
  • 90/60
  • 108/60
  • 120/60


Underpass (exact from 10afdo)

  • 72/60
  • 90/60
  • 102/60
  • 108/60
  • 120/60


Mode 84

Main article: 84afdo

Lowest common multiple of: 1, 2, 3, 4, 6, 7


Major (approximated: handmade compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)

  • 94/84
  • 106/84
  • 112/84
  • 126/84
  • 141/84
  • 159/84
  • 168/84


Cosmic (approximated from 32afdo)

  • 112/84
  • 126/84
  • 134/84
  • 150/84
  • 168/84


Evened Minor Hexatonic (approximated from Compton in 96edo)

  • 94/84
  • 101/84
  • 112/84
  • 126/84
  • 149/84
  • 168/84


Evened Phrygian Dominant Hexatonic (approximated from Compton in 96edo)

  • 90/84
  • 105/84
  • 112/84
  • 127/84
  • 149/84
  • 168/84


Flattened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 99/84
  • 111/84
  • 125/84
  • 132/84
  • 168/84


Flattened Blues Minor Maj7 (approximated from Compton in 96edo)

  • 99/84
  • 112/84
  • 119/84
  • 126/84
  • 159/84
  • 168/84


Hansel (approximated from 101afdo)

  • 94/84
  • 105/84
  • 112/84
  • 126/84
  • 141/84
  • 158/84
  • 168/84


Palace (approximated from Porky in 29edo)

  • 92/84
  • 99/84
  • 112/84
  • 126/84
  • 139/84
  • 149/84
  • 168/84


Pelog Pentatonic (approximated from 21edo)

  • 90/84
  • 99/84
  • 125/84
  • 133/84
  • 168/84


Roughened Blues Dorian Pentatonic (approximated from Compton in 96edo)

  • 100/84
  • 126/84
  • 142/84
  • 149/84
  • 168/84


Sharpened Blues Aeolian Pentatonic (approximated from Compton in 96edo)

  • 101/84
  • 127/84
  • 133/84
  • 150/84
  • 168/84


Sharpened Blues Dorian Hexatonic (approximated from Compton in 96edo)

  • 101/84
  • 113/84
  • 127/84
  • 141/84
  • 151/84
  • 168/84


Sharpened Blues Harmonic Septatonic (approximated from Compton in 96edo)

  • 101/84
  • 113/84
  • 120/84
  • 126/84
  • 134/84
  • 160/84
  • 168/84


Sharpened Dorian Harmonic (approximated from Compton in 96edo)

  • 95/84
  • 101/84
  • 120/84
  • 127/84
  • 142/84
  • 151/84
  • 168/84


Sharpened Hirajoshi (approximated from Compton in 96edo)

  • 94/84
  • 101/84
  • 126/84
  • 134/84
  • 168/84


Sharpened Akebono I (approximated from Compton in 96edo)

  • 94/84
  • 101/84
  • 126/84
  • 141/84
  • 168/84


Sharpened Minor Pentatonic (approximated from Compton in 96edo)

  • 101/84
  • 112/84
  • 126/84
  • 151/84
  • 168/84

Macrotonal NEJI edos

5edo


Sourgummy (Over-17 & Over-3)

  • 59/51
  • 67/51
  • 77/51
  • 89/51
  • 102/51


Bubblegum (very composite)

  • 69/60
  • 79/60
  • 91/60
  • 104/60
  • 120/60


Spearmint (Over-31)

  • 71/62
  • 82/62
  • 94/62
  • 108/62
  • 124/62


Lemonade (Over-79)

  • 91/79
  • 104/79
  • 120/79
  • 138/79
  • 158/79


Whitechocolate (very composite)

  • 103/90
  • 119/90
  • 136/90
  • 157/90
  • 180/90


Cola (Over-11 & Over-3^2)

  • 114/99
  • 131/99
  • 150/99
  • 172/99
  • 198/99


6edo


Candycorn (Over-13 & Over-7)

  • 102/91
  • 115/91
  • 129/91
  • 144/91
  • 162/91
  • 182/91


Trailmix (Over-97)

  • 109/97
  • 122/97
  • 137/97
  • 154/97
  • 173/97
  • 194/97


Liquorice (Over-101)

  • 113/101
  • 127/101
  • 143/101
  • 160/101
  • 180/101
  • 202/101


7edo


Apple Mint (Over-5)

  • 88/80
  • 98/80
  • 108/80
  • 119/80
  • 131/80
  • 145/80
  • 160/80


8edo


9edo


10edo

See also