5- to 10-tone scales in 72edo

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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.


Slendric6 (exact tuning from 36edo)

233.333

466.667

700.000

933.333

966.667

1200.000

Neominor[38]

Catakleismic[34]

Marvo[44]

Palace (approximated from Porky in 29edo)

166.667

316.667

500.000

700.000

866.667

1016.667

1200.000

Harry[44]

Palace (approximated from Porky in 29edo)

166.667

316.667

500.000

700.000

866.667

1016.667

1200.000

Semimiracle[42]

Slendric6 (exact tuning from 36edo)

233.333

466.667

700.000

933.333

966.667

1200.000

Unidec[46]

Slendric6 (exact tuning from 36edo)

233.333

466.667

700.000

933.333

966.667

1200.000

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 (exact tuning from 12edo)

400.000

500.000

700.000

1100.000

1200.000


Major (exact tuning from 12edo)

200.000

400.000

500.000

700.000

900.000

1100.000

1200.000


Flattened Major (approximated from Compton in 96edo)

200.000

383.333

500.000

700.000

883.333

1083.333

1200.000


Major Pentatonic (exact tuning from 12edo)

200.000

400.000

700.000

900.000

1200.000


Flattened Major Pentatonic (approximated from Compton in 96edo)

183.333

383.333

700.000

883.333

1200.000

Minor scales

Minor (exact tuning from 12edo)

200.000

300.000

500.000

700.000

800.000

1000.000

1200.000


Sharpened Minor (approximated from Compton in 96edo)

200.000

316.667

500.000

700.000

816.667

1016.667

1200.000


Minor Harmonic (exact tuning from 12edo)

200.000

300.000

500.000

700.000

800.000

1100.000

1200.000


Sharpened Minor Harmonic (approximated from Compton in 96edo)

216.667

316.667

516.667

716.667

816.667

1116.667

1200.000


Minor Harmonic Pentatonic I (exact tuning from 12edo)

200.000

300.000

700.000

1100.000

1200.000


Sharpened Minor Harmonic Pentatonic I (approximated from Compton in 96edo)

216.667

316.667

716.667

1116.667

1200.000


Minor Harmonic Pentatonic II (exact tuning from 12edo)

300.000

500.000

700.000

1100.000

1200.000


Minor Hexatonic (exact tuning from 12edo)

200.000

300.000

500.000

700.000

1000.000

1200.000


Evened Minor Hexatonic (approximated from Compton in 96edo)

183.333

316.667

500.000

700.000

983.333

1200.000


Minor Melodic (exact tuning from 12edo)

200.000

300.000

500.000

700.000

900.000

1100.000

1200.000


Minor Pentatonic (exact tuning from 12edo)

300.000

500.000

700.000

1000.000

1200.000


Sharpened Minor Pentatonic (approximated from Compton in 96edo)

316.667

500.000

700.000

1016.667

1200.000

Modal scales

Dorian (exact tuning from 12edo)

200.000

300.000

500.000

700.000

900.000

1000.000

1200.000


Sharpened Dorian (approximated from Compton in 96edo)

216.667

316.667

516.667

716.667

916.667

1016.667

1200.000


Dorian Harmonic (exact tuning from 12edo)

200.000

300.000

600.000

700.000

900.000

1000.000

1200.000


Sharpened Dorian Harmonic (approximated from Compton in 96edo)

216.667

316.667

616.667

716.667

916.667

1016.667

1200.000


Mixolydian Pentatonic (exact tuning from 12edo)

400.000

500.000

700.000

1000.000

1200.000


Phrygian (exact tuning from 12edo)

100.000

300.000

500.000

700.000

800.000

1000.000

1200.000


Flattened Phrygian (approximated from Compton in 96edo)

This one has a phonk-like sound.

83.333

283.333

483.333

683.333

783.333

983.333

1200.000


Phrygian Dominant (exact tuning from 12edo)

100.000

400.000

500.000

700.000

800.000

1000.000

1200.000


Phrygian Dominant Hexatonic (exact tuning from 12edo)

100.000

400.000

500.000

700.000

1000.000

1200.000


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

116.667

383.333

500.000

716.667

983.333

1200.000


Phrygian Dominant Pentatonic (exact tuning from 12edo)

400.000

500.000

700.000

800.000

1200.000


Phrygian Pentatonic (exact tuning from 12edo)

100.000

300.000

700.000

800.000

1200.000


Sharpened Phrygian Pentatonic (approximated from Compton in 96edo)

100.000

316.667

716.667

816.667

1200.000

Blues scales

Blackened skies (this is the original/default tuning)

316.667

500.000

583.333

700.000

783.333

1116.667

1200.000


Lost spirit (approximated from Meantone in 31edo)

316.667

500.000

583.333

700.000

933.333

1016.667

1200.000


Blues Aeolian Hexatonic (exact tuning from 12edo)

300.000

500.000

600.000

700.000

800.000

1200.000


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

316.667

500.000

600.000

700.000

800.000

1200.000


Blues Aeolian Pentatonic I (exact tuning from 12edo)

300.000

500.000

700.000

800.000

1200.000


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

300.000

500.000

700.000

783.333

1200.000


Blues Aeolian Pentatonic II (exact tuning from 12edo)

300.000

700.000

800.000

1000.000

1200.000


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

316.667

716.667

800.000

1000.000

1200.000


Blues Bright Double Harmonic (exact tuning from 12edo)

100.000

400.000

500.000

700.000

800.000

1000.000

1100.000

1200.000


Blues Dark Double Harmonic (exact tuning from 12edo)

200.000

300.000

500.000

600.000

700.000

800.000

1100.000

1200.000


Blues Dorian Hexatonic (exact tuning from 12edo)

300.000

500.000

700.000

900.000

1000.000

1200.000


Blues Dorian Pentatonic (exact tuning from 12edo)

300.000

700.000

900.000

1000.000

1200.000


Blues Dorian Septatonic (exact tuning from 12edo)

300.000

500.000

600.000

700.000

900.000

1000.000

1200.000


Blues Harmonic Hexatonic (exact tuning from 12edo)

200.000

300.000

500.000

700.000

1100.000

1200.000


Blues Harmonic Septatonic (exact tuning from 12edo)

300.000

500.000

600.000

700.000

800.000

1100.000

1200.000


Blues Leading (exact tuning from 12edo)

300.000

500.000

600.000

700.000

1000.000

1100.000

1200.000


Blues Minor (exact tuning from 12edo)

300.000

500.000

600.000

700.000

1000.000

1200.000


Blues Minor Maj7 (exact tuning from 12edo)

300.000

500.000

600.000

700.000

1100.000

1200.000


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

283.333

500.000

600.000

700.000

1100.000

1200.000


Blues Pentachordal (exact tuning from 12edo)

200.000

300.000

500.000

600.000

700.000

1200.000

Other scales

Augmented (exact tuning from 12edo)

300.000

400.000

700.000

800.000

1100.000

1200.000


Roughened Augmented (approximated from Compton in 96edo)

316.667

400.000

716.667

800.000

1116.667

1200.000


Cosmic (approximated from 32afdo)

500.000

700.000

800.000

1000.000

1200.000


Cosmic 2 (approximated from 32afdo, then rotated)

200.000

300.000

500.000

700.000

1200.000


Deja Vu (approximated from 101afdo)

(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 (exact tuning from 12edo)

200.000

400.000

700.000

1000.000

1200.000


Double Harmonic (exact tuning from 12edo)

100.000

400.000

500.000

700.000

800.000

1100.000

1200.000


Hirajoshi (exact tuning from 12edo)

200.000

300.000

700.000

800.000

1200.000


Sharpened Hirajoshi (approximated from Compton in 96edo)

200.000

316.667

700.000

816.667

1200.000


Javanese Pentachordal (exact tuning from 12edo)

100.000

300.000

600.000

700.000

1200.000


Roughened Javanese Pentachordal (approximated from Compton in 96edo)

83.333

300.000

616.667

700.000

1200.000


Akebono I (exact tuning from 12edo)

200.000

300.000

700.000

900.000

1200.000


Moonbeam (approximated from 16afdo)

200.000

300.000

700.000

1083.333

1200.000


Palace (approximated from Porky in 29edo)

166.667

316.667

500.000

700.000

866.667

1016.667

1200.000


Underpass (approximated from 10afdo]])

316.667

700.000

916.667

1016.667

1200.000


Whole Tone (exact tuning from 6edo)

200.000

400.000

600.000

800.000

1000.000

1200.000

Hemiennealimmal[54] (includes 18edo)

Hours[48] (includes 24edo)

Palace (approximated from Porky in 29edo)

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]

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


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 (approximated from 16afdo)

300.000

383.333

700.000

966.667

1200.000


Moonbeam (approximated from 16afdo)

200.000

300.000

700.000

1083.333

1200.000


Springwater (approximated from 8afdo)

200.000

383.333

700.000

966.667

1200.000


Volcanic (approximated from 16afdo)

100.000

383.333

700.000

966.667

1200.000


Deja Vu (approximated from 101afdo)

(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 (approximated from 6afdo)

266.667

500.000

700.000

1050.000

1200.000


Mushroom (approximated from 30afdo)

266.667

500.000

700.000

783.333

1200.000


Underpass (approximated from 10afdo)

316.667

700.000

916.667

1016.667

1200.000


Spearmint (approximated from 62afdo)

233.333

483.333

716.667

966.667

1200.000

See also