User:BudjarnLambeth/5- to 10-tone scales in 91edo: Difference between revisions

VisualWikitext

Latest revision as of 03:47, 4 September 2025

This article lists some 5- to 10-note scales in 91edo. The tuning of each scale degree is given in cents.

Subsets of MOS scales

Sfourth[46]

Palace (approximated from Porky in 29edo)

158.24175824175825

316.4835164835165

501.0989010989011

698.9010989010989

857.1428571428571

1015.3846153846154

1200.000

The fifth of 91edo is a suitable generator for meantone. In particular, it closely approximates the 1/7-comma meantone generator. It also closely approximates the optimal 11-limit POTE generator for domineering, one possible alternative extension of meantone.

Outside of meantone, the 91edo fifth is also an accurate generator for Lalagu (12 & 79), which is theoretically very different to meantone (tempering different commas), but audibly very similar.

The scales listed in this section are subsets of Meantone55 in 91edo.

Major scales

Major (approximated from 12edo)

197.80219780219778

395.60439560439556

501.0989010989011

698.9010989010989

896.7032967032967

1094.5054945054944

1200.000

Major Pentatonic (approximated from 12edo)

197.80219780219778

395.60439560439556

698.9010989010989

896.7032967032967

1200.000

Ionian Pentatonic (approximated from 12edo)

395.60439560439556

501.0989010989011

698.9010989010989

1094.5054945054944

1200.000

Minor scales

Minor (approximated from 12edo)

197.80219780219778

303.2967032967033

501.0989010989011

698.9010989010989

804.3956043956043

1002.1978021978022

1200.000

Minor Harmonic (approximated from 12edo)

197.80219780219778

303.2967032967033

501.0989010989011

698.9010989010989

804.3956043956043

1094.5054945054944

1200.000

Minor Hexatonic (approximated from 12edo)

197.80219780219778

303.2967032967033

501.0989010989011

698.9010989010989

1002.1978021978022

1200.000

Minor Melodic (approximated from 12edo)

197.80219780219778

303.2967032967033

501.0989010989011

698.9010989010989

896.7032967032967

1094.5054945054944

1200.000

Minor Pentatonic (approximated from 12edo)

303.2967032967033

501.0989010989011

698.9010989010989

1002.1978021978022

1200.000

Modal scales

Dorian (approximated from 12edo)

197.80219780219778

303.2967032967033

501.0989010989011

698.9010989010989

896.7032967032967

1002.1978021978022

1200.000

Dorian Harmonic (approximated from 12edo)

197.80219780219778

303.2967032967033

606.5934065934066

698.9010989010989

896.7032967032967

1002.1978021978022

1200.

Mixolydian (approximated from 12edo)

197.80219780219778

395.60439560439556

501.0989010989011

698.9010989010989

896.7032967032967

1002.1978021978022

1200.000

Mixolydian Pentatonic (approximated from 12edo)

395.60439560439556

501.0989010989011

698.9010989010989

1002.1978021978022

1200.000

Phrygian (approximated from 12edo)

105.49450549450549

303.2967032967033

501.0989010989011

698.9010989010989

804.3956043956043

1002.1978021978022

1200.000

Phrygian Dominant (approximated from 12edo)

105.49450549450549

395.60439560439556

501.0989010989011

698.9010989010989

804.3956043956043

1002.1978021978022

1200.000

Phrygian Dominant Hexatonic (approximated from 12edo)

105.49450549450549

395.60439560439556

501.0989010989011

698.9010989010989

1002.1978021978022

1200.000

Phrygian Dominant Pentatonic (approximated from 12edo)

395.60439560439556

501.0989010989011

698.9010989010989

804.3956043956043

1200.000

Phrygian Pentatonic (approximated from 12edo)

105.49450549450549

303.2967032967033

698.9010989010989

804.3956043956043

1200.000

Blues scales

Lost spirit (approximated from Meantone in 31edo)

303.2967032967033

501.0989010989011

619.7802197802198

698.9010989010989

923.076923076923

1002.1978021978022

1200.000

Greyed Skies (this is the original/default tuning)

316.4835164835165

501.0989010989011

593.4065934065934

698.9010989010989

791.2087912087911

1107.6923076923076

1200.000

Blackened skies (approximated from Compton in 72edo)

329.67032967032964

501.0989010989011

580.2197802197802

698.9010989010989

778.0219780219779

1120.8791208791208

1200.000

Blues Aeolian Hexatonic (approximated from 12edo)

303.2967032967033

501.0989010989011

606.5934065934066

698.9010989010989

804.3956043956043

1200.000

Blues Aeolian Pentatonic I (approximated from 12edo)

303.2967032967033

501.0989010989011

698.9010989010989

804.3956043956043

1200.000

Blues Aeolian Pentatonic II (approximated from 12edo)

303.2967032967033

698.9010989010989

804.3956043956043

1002.1978021978022

1200.000

Blues Dorian Hexatonic (approximated from 12edo)

303.2967032967033

501.0989010989011

698.9010989010989

896.7032967032967

1002.1978021978022

1200.000

Blues Dorian Pentatonic (approximated from 12edo)

303.2967032967033

698.9010989010989

896.7032967032967

1002.1978021978022

1200.000

Blues Harmonic Hexatonic (approximated from 12edo)

197.80219780219778

303.2967032967033

501.0989010989011

698.9010989010989

1094.5054945054944

1200.000

Blues Leading (approximated from 12edo)

303.2967032967033

501.0989010989011

606.5934065934066

698.9010989010989

1002.1978021978022

1107.6923076923076

1200.000

Blues Minor (approximated from 12edo)

303.2967032967033

501.0989010989011

606.5934065934066

698.9010989010989

1002.1978021978022

1200.000

Blues Pentachordal (approximated from 12edo)

197.80219780219778

303.2967032967033

501.0989010989011

593.4065934065934

698.9010989010989

1200.000

Other scales

Augmented (approximated from 12edo)

303.2967032967033

408.79120879120876

698.9010989010989

804.3956043956043

1094.5054945054944

1200.000

Dominant Pentatonic (approximated from 12edo)

197.80219780219778

395.60439560439556

698.9010989010989

1002.1978021978022

1200.000

Double Harmonic (approximated from 12edo)

92.3076923076923

408.79120879120876

501.0989010989011

698.9010989010989

791.2087912087911

1107.6923076923076

1200.000

Hirajoshi (approximated from 12edo)

197.80219780219778

303.2967032967033

698.9010989010989

804.3956043956043

1200.000

Javanese Pentachordal (approximated from 12edo)

105.49450549450549

303.2967032967033

606.5934065934066

698.9010989010989

1200.000

Akebono I (approximated from 12edo)

197.80219780219778

303.2967032967033

698.9010989010989

896.7032967032967

1200.000

Cosmic (approximated from 32afdo)

501.0989010989011

698.9010989010989

804.3956043956043

1002.1978021978022

1200.000

Sharpened Cosmic (approximated from Compton in 96edo)

501.0989010989011

698.9010989010989

804.3956043956043

1015.3846153846154

1200.000

Tritonic[31]

Absurdity[42]

Palace (approximated from Porky in 29edo)

158.24175824175825

316.4835164835165

501.0989010989011

698.9010989010989

857.1428571428571

1015.3846153846154

1200.000

Other scales

Spectral Cosmic (approximated from 32afdo)

514.2857142857142
698.9010989010989
804.3956043956043
1002.1978021978022
1200.

User:BudjarnLambeth/5- to 10-tone scales in 91edo: Difference between revisions

Latest revision as of 03:47, 4 September 2025

Contents

Subsets of MOS scales

Sfourth[46]

Semaphore[43]

Septimin[41]

Catakleismic[53]

Meantone/Domineering[55]

Major scales

Minor scales

Modal scales

Blues scales

Other scales

Tritonic[31]

Absurdity[42]

Other scales

See also

Navigation menu

@@ Line 1: / Line 1: @@
-This article lists some 5- to 8-note scales in [[91edo]]. The tuning of each scale degree is given in [[cents]]. Scales in this list with similar names often share some notes in common and may sound concordant together.
+This article lists some 5- to 10-note scales in [[91edo]]. The tuning of each scale degree is given in [[cents]].
+== Subsets of [[MOS scale]]s ==
-== [[Regular temperament]] subsets ==
+=== [[Sfourth]][46] ===
-=== [[Sfourth]] ===
+Palace (approximated from [[Porky]] in [[29edo]])
-=== [[Quartkeenlig]] ===
+.24175824175825
-=== [[Swetneus]] ===
+.4835164835165
-=== [[Semaphore]] ===
+.0989010989011
+.9010989010989
+.1428571428571
+.3846153846154
+.000
-=== [[Septimin]] ===
+=== [[Semaphore]][43] ===
-=== [[Catakleismic]] ===
+=== [[Septimin]][41] ===
-=== [[Supermajor]] ===
+=== [[Catakleismic]][53] ===
-=== [[Semidimfourth]] ===
+=== [[Meantone]]/[[Domineering]][55] ===
+The fifth of 91edo is a suitable generator for [[meantone]]. In particular, it closely approximates the [[1/7-comma meantone]] generator. It also closely approximates the optimal 11-limit POTE generator for [[domineering]], one possible alternative extension of meantone.
-=== [[Lalagu]] (12 & 79) ===
+Outside of meantone, the 91edo fifth is also an accurate generator for [[schismic–Pythagorean equivalence continuum#Lalagu_.2812.2679.29|Lalagu (12 & 79)]], which is theoretically very different to meantone (tempering different [[commas]]), but audibly very similar.
-Lalagu (12 & 79) is extremely close to [[1/7-comma meantone]]
+The scales listed in this section are subsets of [[Meantone55 in 91edo]].
 ==== Major scales ====
+Major (approximated from [[12edo]])
-Major
 .80219780219778
 .60439560439556
 .0989010989011
 .9010989010989
 .7032967032967
 .5054945054944
 .000
-Major Pentatonic
+Major Pentatonic (approximated from [[12edo]])
 .80219780219778
 .60439560439556
 .9010989010989
 .7032967032967
 .000
-Ionian Pentatonic
+Ionian Pentatonic (approximated from [[12edo]])
 .60439560439556
 .0989010989011
 .9010989010989
 .5054945054944
 .000
 ==== Minor scales ====
+Minor (approximated from [[12edo]])
-Minor
 .80219780219778
 .2967032967033
 .0989010989011
 .9010989010989
 .3956043956043
 .1978021978022
 .000
-Minor Harmonic
+Minor Harmonic (approximated from [[12edo]])
 .80219780219778
 .2967032967033
 .0989010989011
 .9010989010989
 .3956043956043
 .5054945054944
 .000
-Minor Hexatonic
+Minor Hexatonic (approximated from [[12edo]])
 .80219780219778
 .2967032967033
 .0989010989011
 .9010989010989
 .1978021978022
 .000
-Minor Melodic
+Minor Melodic (approximated from [[12edo]])
 .80219780219778
 .2967032967033
 .0989010989011
 .9010989010989
 .7032967032967
 .5054945054944
 .000
-Minor Pentatonic
+Minor Pentatonic (approximated from [[12edo]])
 .2967032967033
 .0989010989011
 .9010989010989
 .1978021978022
 .000
 ==== Modal scales ====
+Dorian (approximated from [[12edo]])
-Dorian
 .80219780219778
 .2967032967033
 .0989010989011
 .9010989010989
 .7032967032967
 .1978021978022
 .000
-Dorian Harmonic
+Dorian Harmonic (approximated from [[12edo]])
 .80219780219778
 .2967032967033
 .5934065934066
 .9010989010989
 .7032967032967
 .1978021978022
 .
-Mixolydian Pentatonic
+Mixolydian (approximated from [[12edo]])
+.80219780219778
 .60439560439556
 .0989010989011
 .9010989010989
+.7032967032967
 .1978021978022
 .000
-Phrygian
+Mixolydian Pentatonic (approximated from [[12edo]])
+.60439560439556
+.0989010989011
+.9010989010989
+.1978021978022
+.000
+Phrygian (approximated from [[12edo]])
 .49450549450549
 .2967032967033
 .0989010989011
 .9010989010989
 .3956043956043
 .1978021978022
 .000
-Phrygian Dominant
+Phrygian Dominant (approximated from [[12edo]])
 .49450549450549
 .60439560439556
 .0989010989011
 .9010989010989
 .3956043956043
 .1978021978022
 .000
-Phrygian Dominant Hexatonic
+Phrygian Dominant Hexatonic (approximated from [[12edo]])
 .49450549450549
 .60439560439556
 .0989010989011
 .9010989010989
 .1978021978022
 .000
-Phrygian Dominant Pentatonic
+Phrygian Dominant Pentatonic (approximated from [[12edo]])
 .60439560439556
 .0989010989011
 .9010989010989
 .3956043956043
 .000
-Phrygian Pentatonic
+Phrygian Pentatonic (approximated from [[12edo]])
 .49450549450549
 .2967032967033
 .9010989010989
 .3956043956043
 .000
 ==== Blues scales ====
+[[Lost spirit]] (approximated from [[Meantone]] in [[31edo]])
-Blues Aeolian Hexatonic
 .2967032967033
 .0989010989011
-.5934065934066
+.7802197802198
 .9010989010989
-.3956043956043
+.076923076923
+.1978021978022
 .000
-Blues Aeolian Pentatonic I
-.2967032967033
+Greyed Skies (this is the original/default tuning)
+.4835164835165
 .0989010989011
+.4065934065934
 .9010989010989
-.3956043956043
+.2087912087911
+.6923076923076
 .000
-Blues Aeolian Pentatonic II
-.2967032967033
+[[Blackened skies]] (approximated from [[Compton]] in [[72edo]])
+.67032967032964
+.0989010989011
+.2197802197802
 .9010989010989
-.3956043956043
-.1978021978022
+.0219780219779
+.8791208791208
 .000
-Blues Bright Double Harmonic
-.49450549450549
+Blues Aeolian Hexatonic (approximated from [[12edo]])
-.60439560439556
+.2967032967033
 .0989010989011
+.5934065934066
 .9010989010989
 .3956043956043
-.1978021978022
-.6923076923076
 .000
-Blues Dark Double Harmonic
-.80219780219778
+Blues Aeolian Pentatonic I (approximated from [[12edo]])
 .2967032967033
 .0989010989011
-.5934065934066
 .9010989010989
 .3956043956043
-.5054945054944
 .000
-Blues Dorian Hexatonic
+Blues Aeolian Pentatonic II (approximated from [[12edo]])
 .2967032967033
-.0989010989011
 .9010989010989
-.7032967032967
+.3956043956043
 .1978021978022
 .000
-Blues Dorian Pentatonic
+Blues Dorian Hexatonic (approximated from [[12edo]])
 .2967032967033
+.0989010989011
 .9010989010989
 .7032967032967
 .1978021978022
 .000
-Blues Dorian Septatonic
+Blues Dorian Pentatonic (approximated from [[12edo]])
 .2967032967033
-.0989010989011
-.5934065934066
 .9010989010989
 .7032967032967
 .1978021978022
 .000
-Blues Harmonic Hexatonic
+Blues Harmonic Hexatonic (approximated from [[12edo]])
 .80219780219778
 .2967032967033
 .0989010989011
 .9010989010989
 .5054945054944
 .000
-Blues Harmonic Septatonic
-.2967032967033
+Blues Leading (approximated from [[12edo]])
-.0989010989011
-.5934065934066
-.9010989010989
-.3956043956043
-.5054945054944
-.000
-Blues Leading
 .2967032967033
 .0989010989011
 .5934065934066
 .9010989010989
 .1978021978022
 .6923076923076
 .000
-Blues Minor
+Blues Minor (approximated from [[12edo]])
 .2967032967033
 .0989010989011
 .5934065934066
 .9010989010989
 .1978021978022
 .000
-Blues Minor Maj7
-.2967032967033
+Blues Pentachordal (approximated from [[12edo]])
-.0989010989011
-.5934065934066
-.9010989010989
-.5054945054944
-.000
-Blues Pentachordal
 .80219780219778
 .2967032967033
 .0989010989011
 .4065934065934
 .9010989010989
 .000
 ==== Other scales ====
+Augmented (approximated from [[12edo]])
-Augmented
 .2967032967033
 .79120879120876
 .9010989010989
 .3956043956043
 .5054945054944
 .000
-Dominant Pentatonic
+Dominant Pentatonic (approximated from [[12edo]])
 .80219780219778
 .60439560439556
 .9010989010989
 .1978021978022
 .000
-Double Harmonic
+Double Harmonic (approximated from [[12edo]])
 .3076923076923
 .79120879120876
 .0989010989011
 .9010989010989
 .2087912087911
 .6923076923076
-.000
+.000
-Hirajoshi
+Hirajoshi (approximated from [[12edo]])
 .80219780219778
 .2967032967033
 .9010989010989
 .3956043956043
 .000
-Javanese Pentachordal
+Javanese Pentachordal (approximated from [[12edo]])
 .49450549450549
 .2967032967033
 .5934065934066
 .9010989010989
 .000
-Kokin-Joshi
+Akebono I (approximated from [[12edo]])
 .80219780219778
 .2967032967033
 .9010989010989
 .7032967032967
+.000
+Cosmic (approximated from [[32afdo]])
+.0989010989011
+.9010989010989
+.3956043956043
+.1978021978022
+.000
+Sharpened Cosmic (approximated from [[Compton]] in [[96edo]])
+.0989010989011
+.9010989010989
+.3956043956043
+.3846153846154
 .000
-=== [[Tritonic]] ===
+=== [[Tritonic]][31] ===
+=== [[Absurdity]][42] ===
+Palace (approximated from [[Porky]] in [[29edo]])
+.24175824175825
+.4835164835165
+.0989010989011
+.9010989010989
-=== [[Absurdity]] ===
+.1428571428571
-=== [[Trideci]]/[[Aluminium]] ===
+.3846153846154
+.000
 == Other scales ==
+Spectral Cosmic (approximated from [[32afdo]])
+* 514.2857142857142
+* 698.9010989010989
+* 804.3956043956043
+* 1002.1978021978022
+* 1200.
+== See also ==
+* [[Meantone]]
+** [[1/7-comma meantone]]
+** [[Domineering]]
+* [[Fractional-octave temperaments]]
+** [[5- to 10-tone scales in 60edo]]
+** [[5- to 10-tone scales in 72edo]]
+** [[5- to 10-tone scales in 84edo]]
+** [[5- to 10-tone scales in 96edo]]
+* [[5- to 10-tone scales from the modes of the harmonic series]]
+** [[5- to 10-tone scales from the modes of the subharmonic series]]
+[[Category:91edo]]
+[[Category:Lists of scales]]
+[[Category:5-tone scales]]
+[[Category:6-tone scales]]
+[[Category:7-tone scales]]
+[[Category:8-tone scales]]

User:BudjarnLambeth/5- to 10-tone scales in 91edo: Difference between revisions

Latest revision as of 03:47, 4 September 2025

Subsets of MOS scales

Sfourth[46]

Semaphore[43]

Septimin[41]

Catakleismic[53]

Meantone/Domineering[55]

Major scales

Minor scales

Modal scales

Blues scales

Other scales

Tritonic[31]

Absurdity[42]

Other scales

See also

Navigation menu

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