User:BudjarnLambeth/5- to 10-tone scales in 72edo: Difference between revisions
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Revision as of 01:26, 19 February 2024
72edo is a tuning which supports many fractional-octave temperaments. It is also a zeta peak and zeta gap EDO, meaning it approximates the harmonic series very well for its size.
This article lists some 5- to 10-note scales in 72edo. The tuning of each scale degree is given in cents.
Subsets of MOS scales
Marvolo[43]
Miracle[41]
Blackjack
Blackjack is a MOS of Miracle[21] in 72edo which has useful properties. It was constructed by George Secor, Dave Keenan and Paul Erlich.
Neominor[38]
Catakleismic[34]
Marvo[44]
Palace
166.667
316.667
500.000
700.000
866.667
1016.667
1200.000
Harry[44]
Palace
166.667
316.667
500.000
700.000
866.667
1016.667
1200.000
Semimiracle[42]
Unidec[46]
Wizard[50]
Bikleismic[38]
Tritikleismic[42]
Mirkat[39]
Quadritikleismic[52]
Octoid[56] (includes 8edo)
Ennealimmal[45] (includes 9edo)
Compton[48] (includes 12edo)
Major scales
Ionian Pentatonic
400.000
500.000
700.000
1100.000
1200.000
Major
200.000
400.000
500.000
700.000
900.000
1100.000
1200.000
Flattened Major
200.000
383.333
500.000
700.000
883.333
1083.333
1200.000
Major Pentatonic
200.000
400.000
700.000
900.000
1200.000
Flattened Major Pentatonic
183.333
383.333
700.000
883.333
1200.000
Minor scales
Minor
200.000
300.000
500.000
700.000
800.000
1000.000
1200.000
Sharpened Minor
200.000
316.667
500.000
700.000
816.667
1016.667
1200.000
Minor Harmonic
200.000
300.000
500.000
700.000
800.000
1100.000
1200.000
Sharpened Minor Harmonic
216.667
316.667
516.667
716.667
816.667
1116.667
1200.000
Minor Harmonic Pentatonic I
200.000
300.000
700.000
1100.000
1200.000
Sharpened Minor Harmonic Pentatonic I
216.667
316.667
716.667
1116.667
1200.000
Minor Harmonic Pentatonic II
300.000
500.000
700.000
1100.000
1200.000
Minor Hexatonic
200.000
300.000
500.000
700.000
1000.000
1200.000
Evened Minor Hexatonic
183.333
316.667
500.000
700.000
983.333
1200.000
Minor Melodic
200.000
300.000
500.000
700.000
900.000
1100.000
1200.000
Minor Pentatonic
300.000
500.000
700.000
1000.000
1200.000
Sharpened Minor Pentatonic
316.667
500.000
700.000
1016.667
1200.000
Modal scales
Dorian
200.000
300.000
500.000
700.000
900.000
1000.000
1200.000
Sharpened Dorian
216.667
316.667
516.667
716.667
916.667
1016.667
1200.000
Dorian Harmonic
200.000
300.000
600.000
700.000
900.000
1000.000
1200.000
Sharpened Dorian Harmonic
216.667
316.667
616.667
716.667
916.667
1016.667
1200.000
Mixolydian Pentatonic
400.000
500.000
700.000
1000.000
1200.000
Phrygian
100.000
300.000
500.000
700.000
800.000
1000.000
1200.000
Flattened Phrygian
This one has a phonk-like sound.
83.333
283.333
483.333
683.333
783.333
983.333
1200.000
Phrygian Dominant
100.000
400.000
500.000
700.000
800.000
1000.000
1200.000
Phrygian Dominant Hexatonic
100.000
400.000
500.000
700.000
1000.000
1200.000
Evened Phrygian Dominant Hexatonic
116.667
383.333
500.000
716.667
983.333
1200.000
Phrygian Dominant Pentatonic
400.000
500.000
700.000
800.000
1200.000
Phrygian Pentatonic
100.000
300.000
700.000
800.000
1200.000
Sharpened Phrygian Pentatonic
100.000
316.667
716.667
816.667
1200.000
Blues scales
316.667
500.000
583.333
700.000
783.333
1116.667
1200.000
316.667
500.000
583.333
700.000
933.333
1016.667
1200.000
Blues Aeolian Hexatonic
300.000
500.000
600.000
700.000
800.000
1200.000
Sharpened Blues Aeolian Hexatonic
316.667
500.000
600.000
700.000
800.000
1200.000
Blues Aeolian Pentatonic I
300.000
500.000
700.000
800.000
1200.000
Flattened Blues Aeolian Pentatonic I
300.000
500.000
700.000
783.333
1200.000
Blues Aeolian Pentatonic II
300.000
700.000
800.000
1000.000
1200.000
Sharpened Blues Aeolian Pentatonic II
316.667
716.667
800.000
1000.000
1200.000
Blues Bright Double Harmonic
100.000
400.000
500.000
700.000
800.000
1000.000
1100.000
1200.000
Blues Dark Double Harmonic
200.000
300.000
500.000
600.000
700.000
800.000
1100.000
1200.000
Blues Dorian Hexatonic
300.000
500.000
700.000
900.000
1000.000
1200.000
Blues Dorian Pentatonic
300.000
700.000
900.000
1000.000
1200.000
Blues Dorian Septatonic
300.000
500.000
600.000
700.000
900.000
1000.000
1200.000
Blues Harmonic Hexatonic
200.000
300.000
500.000
700.000
1100.000
1200.000
Blues Harmonic Septatonic
300.000
500.000
600.000
700.000
800.000
1100.000
1200.000
Blues Leading
300.000
500.000
600.000
700.000
1000.000
1100.000
1200.000
Blues Minor
300.000
500.000
600.000
700.000
1000.000
1200.000
Blues Minor Maj7
300.000
500.000
600.000
700.000
1100.000
1200.000
Flattened Blues Minor Maj7
283.333
500.000
600.000
700.000
1100.000
1200.000
Blues Pentachordal
200.000
300.000
500.000
600.000
700.000
1200.000
Other scales
Augmented
300.000
400.000
700.000
800.000
1100.000
1200.000
Roughened Augmented
316.667
400.000
716.667
800.000
1116.667
1200.000
Cosmic
500.000
700.000
800.000
1000.000
1200.000
Cosmic 2
200.000
300.000
500.000
700.000
1200.000
Cyberspace
(This one sounds particularly lush and emotive, good for bittersweet synthwave tracks or things along those lines)
316.667
700.000
816.667
1016.667
1200.000
Dominant Pentatonic
200.000
400.000
700.000
1000.000
1200.000
Double Harmonic
100.000
400.000
500.000
700.000
800.000
1100.000
1200.000
Hirajoshi
200.000
300.000
700.000
800.000
1200.000
Sharpened Hirajoshi
200.000
316.667
700.000
816.667
1200.000
Javanese Pentachordal
100.000
300.000
600.000
700.000
1200.000
Roughened Javanese Pentachordal
83.333
300.000
616.667
700.000
1200.000
Akebono I
200.000
300.000
700.000
900.000
1200.000
Moonbeam
200.000
300.000
700.000
1083.333
1200.000
Palace
166.667
316.667
500.000
700.000
866.667
1016.667
1200.000
Underpass
316.667
700.000
916.667
1016.667
1200.000
Whole Tone
200.000
400.000
600.000
800.000
1000.000
1200.000
Hemiennealimmal[54] (includes 18edo)
Hours[48] (includes 24edo)
Palace
166.667
316.667
500.000
700.000
866.667
1016.667
1200.000
Parent MOS scales (for reference)
Modes of these scales are still considered to be the same scale.
Marvolo[14]
83.333
166.667
250.000
333.333
416.667
500.000
583.333
616.667
700.000
783.333
866.667
950.000
1033.333
1116.667
1200.000
Marvolo[43]
33.333
50.000
83.333
116.667
133.333
166.667
200.000
216.667
250.000
283.333
300.000
333.333
366.667
383.333
416.667
450.000
466.667
500.000
533.333
550.000
583.333
616.667
650.000
666.667
700.000
733.333
750.000
783.333
816.667
833.333
866.667
900.000
916.667
950.000
983.333
1000.000
1033.333
1066.667
1083.333
1116.667
1150.000
1166.667
1200.000
Miracle[21]
see Blackjack
Miracle[41]
33.333
66.667
83.333
116.667
150.000
183.333
200.000
233.333
266.667
300.000
316.667
350.000
383.333
416.667
433.333
466.667
500.000
533.333
550.000
583.333
616.667
650.000
666.667
700.000
733.333
766.667
783.333
816.667
850.000
883.333
900.000
933.333
966.667
1000.000
1016.667
1050.000
1083.333
1116.667
1133.333
1166.667
1200.000
Neominor[13]
66.667
216.667
283.333
350.83.333
166.667
250.000
333.333
416.667
500.000
583.333
616.667
700.000
783.333
866.667
950.000
1033.333
1116.667
1200.000
500.000
566.667
633.333
700.000
850.000
916.667
983.333
1133.333
1200.000
Neominor[38]
16.667
66.667
83.333
133.333
150.000
200.000
216.667
266.667
283.333
300.000
350.000
366.667
416.667
433.333
483.333
500.000
550.000
566.667
583.333
633.333
650.000
700.000
716.667
766.667
783.333
833.333
850.000
900.000
916.667
933.333
983.333
1000.000
1050.000
1066.667
1116.667
1133.333
1183.333
1200.000
Catakleismic[15]
66.667
183.333
250.000
316.667
383.333
500.000
566.667
633.333
700.000
816.667
883.333
950.000
1016.667
1133.333
1200.000
Catakleismic[19]
66.667
133.333
183.333
250.000
316.667
383.333
450.000
500.000
566.667
633.333
700.000
750.000
816.667
883.333
950.000
1016.667
1066.667
1133.333
1200.000
Catakleismic[34]
50.000
66.667
116.667
133.333
183.333
200.000
250.000
266.667
316.667
366.667
383.333
433.333
450.000
500.000
516.667
566.667
583.333
633.333
683.333
700.000
750.000
766.667
816.667
833.333
883.333
933.333
950.000
1000.000
1016.667
1066.667
1083.333
1133.333
1150.000
1200.000
Marvo[16]
16.667
166.667
183.333
333.333
350.000
500.000
516.667
533.333
683.333
700.000
850.000
866.667
1016.667
1033.333
1183.333
1200.000
Marvo[44]
16.667
33.333
50.000
133.333
150.000
166.667
183.333
200.000
216.667
300.000
316.667
333.333
350.000
366.667
383.333
466.667
483.333
500.000
516.666
533.333
550.000
566.667
650.000
666.667
683.333
700.000
716.667
733.333
816.667
833.333
850.000
866.667
883.333
900.000
983.333
1000.000
1016.667
1033.333
1050.000
1066.667
1150.000
1166.667
1183.333
1200.000
Harry[30]
16.667
83.333
100.
166.667
183.334
250.
266.667
333.333
350.
416.666
433.333
500.
516.667
583.333
600.
616.667
683.333
700.
766.667
783.333
850.
866.667
933.333
950.
1016.667
1033.333
1100.
1116.667
1183.333
1200.
Harry[44]
16.667
66.666
83.333
100.
150.
166.667
183.334
233.333
250.
266.667
316.666
333.333
350.
366.667
416.666
433.333
450.
500.
516.667
533.334
583.333
600.
616.667
666.666
683.333
700.
750.
766.667
783.333
833.333
850.
866.667
916.666
933.333
950.
966.667
1016.667
1033.333
1050.
1100.
1116.667
1133.334
1183.333
1200.
Semimiracle[32]
16.666
100.
116.667
133.333
216.667
233.333
250.
333.334
350.
366.667
383.333
466.667
483.333
500.
583.334
600.
616.666
700.
716.667
733.333
816.667
833.333
850.
933.334
950.
966.667
983.333
1066.667
1083.333
1100.
1183.334
1200.
Semimiracle[41]
16.666
33.333
100.
116.667
133.333
150.
216.667
233.333
250.
266.666
333.334
350.
366.667
383.333
450.
466.667
483.333
500.
566.667
583.334
600.
616.666
633.333
700.
716.667
733.333
750.
816.667
833.333
850.
866.666
933.334
950.
966.667
983.333
1050.
1066.667
1083.333
1100.
1166.667
1183.334
1200.
Unidec[26]
50.
100.
133.333
183.333
233.333
283.333
316.667
366.667
416.667
466.667
500.
550.
600.
650.
700.
733.333
783.333
833.333
883.333
916.667
966.667
1016.667
1066.667
1100.
1150.
1200.
Unidec[46]
33.333
50.
83.333
100.
133.333
150.
183.333
216.666
233.333
266.666
283.333
316.667
333.334
366.667
383.334
416.667
450.
466.667
500.
516.667
550.
566.667
600.
633.333
650.
683.333
700.
733.333
750.
783.333
816.666
833.333
866.666
883.333
916.667
933.334
966.667
983.334
1016.667
1050.
1066.667
1100.
1116.667
1150.
1166.667
1200.
Wizard[28]
50.
100.
116.667
166.667
216.667
266.667
316.667
333.333
383.333
433.333
483.333
500.
550.
600.
650.
700.
716.667
766.667
816.667
866.667
916.667
933.333
983.333
1033.333
1083.333
1100.
1150.
1200.
Wizard[50]
16.666
50.
66.666
100.
116.667
150.
166.667
200.
216.667
233.333
266.667
283.333
316.667
333.333
366.667
383.333
400.
433.333
450.
483.333
500.
533.334
550.
583.334
600.
616.666
650.
666.666
700.
716.667
750.
766.667
800.
816.667
833.333
866.667
883.333
916.667
933.333
966.667
983.333
1000.
1033.333
1050.
1083.333
1100.
1133.334
1150.
1183.334
1200.
Bikleismic[26]
33.333
66.667
100.
216.667
250.
283.333
316.667
350.
383.333
500.
533.333
566.667
600.
633.333
666.667
700.
816.667
850.
883.333
916.667
950.
983.333
1100.
1133.333
1166.667
1200.
Bikleismic[38]
33.333
66.667
100.
133.334
150.
183.333
216.667
250.
283.333
316.667
350.
383.333
416.667
450.
466.666
500.
533.333
566.667
600.
633.333
666.667
700.
733.334
750.
783.333
816.667
850.
883.333
916.667
950.
983.333
1016.667
1050.
1066.666
1100.
1133.333
1166.667
1200.
Tritikleismic[42]
16.666
66.667
83.333
100.
150.
166.667
183.333
233.333
250.
300.
316.667
333.333
383.334
400.
416.666
466.667
483.333
500.
550.
566.667
583.333
633.333
650.
700.
716.667
733.333
783.333
800.
816.667
866.667
883.333
900.
950.
966.667
983.333
1033.333
1050.
1100.
1116.667
1133.333
1183.333
1200.
Mirkat[39]
33.333
66.667
100.
116.667
150.
183.333
216.667
250.
283.333
300.
333.333
366.667
400.
433.333
466.667
500.
516.667
550.
583.333
616.667
650.
683.333
700.
733.333
766.667
800.
833.333
866.667
900.
916.667
950.
983.333
1016.667
1050.
1083.333
1100.
1133.333
1166.667
1200.
Quadritikleismic[52]
16.667
33.333
50.
66.667
83.333
100.
200.
216.667
233.333
250.
266.667
283.333
300.
316.667
333.333
350.
366.667
383.333
400.
500.
516.667
533.333
550.
566.667
583.333
600.
616.667
633.333
650.
666.667
683.333
700.
800.
816.667
833.333
850.
866.667
883.333
900.
916.667
933.333
950.
966.667
983.333
1000.
1100.
1116.667
1133.333
1150.
1166.667
1183.333
1200.
Octoid[56]
16.667
33.333
50.
100.
116.667
133.333
150.
166.667
183.333
200.
250.
266.667
283.333
300.
316.667
333.333
350.
400.
416.667
433.333
450.
466.667
483.333
500.
550.
566.667
583.333
600.
616.667
633.333
650.
700.
716.667
733.333
750.
766.667
783.333
800.
850.
866.667
883.333
900.
916.667
933.333
950.
1000.
1016.667
1033.333
1050.
1066.667
1083.333
1100.
1150.
1166.667
1183.333
1200.
Ennealimmal[45]
33.333
50.
83.333
100.
133.333
166.667
183.333
216.667
233.333
266.667
300.
316.667
350.
366.667
400.
433.333
450.
483.333
500.
533.333
566.667
583.333
616.667
633.333
666.667
700.
716.667
750.
766.667
800.
833.333
850.
883.333
900.
933.333
966.666
983.333
1016.666
1033.333
1066.666
1100.
1116.666
1150.
1166.666
1200.
Compton[48] 16.667
66.667
83.333
100.
116.667
166.667
183.333
200.
216.667
266.667
283.333
300.
316.667
366.667
383.333
400.
416.667
466.667
483.333
500.
516.667
566.667
583.333
600.
616.667
666.667
683.333
700.
716.667
766.667
783.333
800.
816.667
866.667
883.333
900.
916.667
966.667
983.333
1000.
1016.667
1066.667
1083.333
1100.
1116.667
1166.667
1183.333
1200.
Hemiennealimmal[54]
16.667
50.
66.667
83.333
116.667
133.333
150.
183.333
200.
216.667
250.
266.667
283.334
316.667
333.334
350.
383.334
400.
416.667
450.
466.667
483.334
516.667
533.334
550.
583.334
600.
616.667
650.
666.667
683.334
716.667
733.334
750.
783.334
800.
816.667
850.
866.667
883.334
916.667
933.334
950.001
983.334
1000.001
1016.667
1050.001
1066.667
1083.334
1116.667
1133.334
1150.001
1183.334
1200.000
Hours[48]
16.667
50.
66.667
100.
116.667
150.
166.667
200.
216.667
250.
266.667
300.
316.667
350.
366.667
400.
416.667
450.
466.667
500.
516.667
550.
566.667
600.
616.667
650.
666.667
700.
716.667
750.
766.667
800.
816.667
850.
866.667
900.
916.667
950.
966.667
1000.
1016.667
1050.
1066.667
1100.
1116.667
1150.
1166.667
1200.
Other scales
Mechanical
300.000
383.333
700.000
966.667
1200.000
Moonbeam
200.000
300.000
700.000
1083.333
1200.000
Springwater
200.000
383.333
700.000
966.667
1200.000
Volcanic
100.000
383.333
700.000
966.667
1200.000
Cyberspace
(This one sounds particularly lush and emotive, good for bittersweet synthwave tracks or things along those lines)
316.667
700.000
816.667
1016.667
1200.000
Geode
266.667
500.000
700.000
1050.000
1200.000
Mushroom
266.667
500.000
700.000
783.333
1200.000
Underpass
316.667
700.000
916.667
1016.667
1200.000
Spearmint
233.333
483.333
716.667
966.667
1200.000