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

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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]] ===
158.24175824175825


=== [[Swetneus]] ===
316.4835164835165


=== [[Semaphore]] ===
501.0989010989011


=== [[Septimin]] ===
698.9010989010989


=== [[Catakleismic]] ===
857.1428571428571


=== [[Supermajor]] ===
1015.3846153846154


=== [[Semidimfourth]] ===
1200.000


=== [[Lalagu]] (12 & 79) ===
=== [[Semaphore]][43] ===
Lalagu (12 & 79) is extremely close to [[1/7-comma meantone]].
 
=== [[Septimin]][41] ===
 
=== [[Catakleismic]][53] ===
 
=== [[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.
 
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.
 
The scales listed in this section are subsets of [[Meantone55 in 91edo]].


==== Major scales ====
==== Major scales ====
Major
Major (approximated from [[12edo]])


197.80219780219778
197.80219780219778
Line 41: Line 52:




Major Pentatonic
Major Pentatonic (approximated from [[12edo]])


197.80219780219778
197.80219780219778
Line 54: Line 65:




Ionian Pentatonic
 
Ionian Pentatonic (approximated from [[12edo]])


395.60439560439556
395.60439560439556
Line 67: Line 79:


==== Minor scales ====
==== Minor scales ====
Minor
Minor (approximated from [[12edo]])


197.80219780219778
197.80219780219778
Line 84: Line 96:




Minor Harmonic
Minor Harmonic (approximated from [[12edo]])


197.80219780219778
197.80219780219778
Line 101: Line 113:




Minor Hexatonic
Minor Hexatonic (approximated from [[12edo]])


197.80219780219778
197.80219780219778
Line 116: Line 128:




Minor Melodic
Minor Melodic (approximated from [[12edo]])


197.80219780219778
197.80219780219778
Line 133: Line 145:




Minor Pentatonic
Minor Pentatonic (approximated from [[12edo]])


303.2967032967033
303.2967032967033
Line 146: Line 158:


==== Modal scales ====
==== Modal scales ====
Dorian
Dorian (approximated from [[12edo]])


197.80219780219778
197.80219780219778
Line 163: Line 175:




Dorian Harmonic
Dorian Harmonic (approximated from [[12edo]])


197.80219780219778
197.80219780219778
Line 180: Line 192:




Mixolydian Pentatonic
Mixolydian (approximated from [[12edo]])
 
197.80219780219778


395.60439560439556
395.60439560439556
Line 187: Line 201:


698.9010989010989
698.9010989010989
896.7032967032967


1002.1978021978022
1002.1978021978022
Line 193: Line 209:




Phrygian
Mixolydian Pentatonic (approximated from [[12edo]])
 
395.60439560439556
 
501.0989010989011
 
698.9010989010989
 
1002.1978021978022
 
1200.000
 
 
Phrygian (approximated from [[12edo]])


105.49450549450549
105.49450549450549
Line 210: Line 239:




Phrygian Dominant
Phrygian Dominant (approximated from [[12edo]])


105.49450549450549
105.49450549450549
Line 227: Line 256:




Phrygian Dominant Hexatonic
Phrygian Dominant Hexatonic (approximated from [[12edo]])


105.49450549450549
105.49450549450549
Line 242: Line 271:




Phrygian Dominant Pentatonic
Phrygian Dominant Pentatonic (approximated from [[12edo]])


395.60439560439556
395.60439560439556
Line 255: Line 284:




Phrygian Pentatonic
Phrygian Pentatonic (approximated from [[12edo]])


105.49450549450549
105.49450549450549
Line 268: Line 297:


==== Blues scales ====
==== Blues scales ====
Blues Aeolian Hexatonic
[[Lost spirit]] (approximated from [[Meantone]] in [[31edo]])


303.2967032967033
303.2967032967033
Line 274: Line 303:
501.0989010989011
501.0989010989011


606.5934065934066
619.7802197802198


698.9010989010989
698.9010989010989


804.3956043956043
923.076923076923
 
1002.1978021978022


1200.000
1200.000




Blues Aeolian Pentatonic I
Greyed Skies (this is the original/default tuning)


303.2967032967033
316.4835164835165


501.0989010989011
501.0989010989011


698.9010989010989
593.4065934065934
 
804.3956043956043
 
1200.000
 
 
Blues Aeolian Pentatonic II
 
303.2967032967033


698.9010989010989
698.9010989010989


804.3956043956043
791.2087912087911


1002.1978021978022
1107.6923076923076


1200.000
1200.000




Blues Bright Double Harmonic
[[Blackened skies]] (approximated from [[Compton]] in [[72edo]])
 
105.49450549450549


395.60439560439556
329.67032967032964


501.0989010989011
501.0989010989011
580.2197802197802


698.9010989010989
698.9010989010989


804.3956043956043
778.0219780219779
 
1002.1978021978022


1107.6923076923076
1120.8791208791208


1200.000
1200.000




Blues Dark Double Harmonic
Blues Aeolian Hexatonic (approximated from [[12edo]])
 
197.80219780219778


303.2967032967033
303.2967032967033
Line 341: Line 359:


804.3956043956043
804.3956043956043
1094.5054945054944


1200.000
1200.000




Blues Dorian Hexatonic
Blues Aeolian Pentatonic I (approximated from [[12edo]])


303.2967032967033
303.2967032967033
Line 355: Line 371:
698.9010989010989
698.9010989010989


896.7032967032967
804.3956043956043
 
1002.1978021978022


1200.000
1200.000




Blues Dorian Pentatonic
Blues Aeolian Pentatonic II (approximated from [[12edo]])


303.2967032967033
303.2967032967033
Line 368: Line 382:
698.9010989010989
698.9010989010989


896.7032967032967
804.3956043956043


1002.1978021978022
1002.1978021978022
Line 375: Line 389:




Blues Dorian Septatonic
Blues Dorian Hexatonic (approximated from [[12edo]])


303.2967032967033
303.2967032967033


501.0989010989011
501.0989010989011
606.5934065934066


698.9010989010989
698.9010989010989
Line 392: Line 404:




Blues Harmonic Hexatonic
Blues Dorian Pentatonic (approximated from [[12edo]])
 
197.80219780219778


303.2967032967033
303.2967032967033


501.0989010989011
698.9010989010989


698.9010989010989
896.7032967032967


1094.5054945054944
1002.1978021978022


1200.000
1200.000




Blues Harmonic Septatonic
Blues Harmonic Hexatonic (approximated from [[12edo]])
 
197.80219780219778


303.2967032967033
303.2967032967033


501.0989010989011
501.0989010989011
606.5934065934066


698.9010989010989
698.9010989010989
804.3956043956043


1094.5054945054944
1094.5054945054944
Line 424: Line 432:




Blues Leading
Blues Leading (approximated from [[12edo]])


303.2967032967033
303.2967032967033
Line 441: Line 449:




Blues Minor
Blues Minor (approximated from [[12edo]])


303.2967032967033
303.2967032967033
Line 456: Line 464:




Blues Minor Maj7
Blues Pentachordal (approximated from [[12edo]])
 
303.2967032967033
 
501.0989010989011
 
606.5934065934066
 
698.9010989010989
 
1094.5054945054944
 
1200.000
 
 
Blues Pentachordal


197.80219780219778
197.80219780219778
Line 486: Line 479:


==== Other scales ====
==== Other scales ====
Augmented
Augmented (approximated from [[12edo]])


303.2967032967033
303.2967032967033
Line 501: Line 494:




Dominant Pentatonic
Dominant Pentatonic (approximated from [[12edo]])


197.80219780219778
197.80219780219778
Line 514: Line 507:




Double Harmonic
Double Harmonic (approximated from [[12edo]])


92.3076923076923
92.3076923076923
Line 531: Line 524:




Hirajoshi
Hirajoshi (approximated from [[12edo]])


197.80219780219778
197.80219780219778
Line 544: Line 537:




Javanese Pentachordal
Javanese Pentachordal (approximated from [[12edo]])


105.49450549450549
105.49450549450549
Line 557: Line 550:




Kokin-Joshi
Akebono I (approximated from [[12edo]])


197.80219780219778
197.80219780219778
Line 569: Line 562:
1200.000
1200.000


=== [[Tritonic]] ===


=== [[Absurdity]] ===
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


=== [[Trideci]]/[[Aluminium]] ===
1200.000


== Other scales ==
== 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:91edo]]
[[Category:Lists of scales]]
[[Category:Lists of scales]]

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

Semaphore[43]

Septimin[41]

Catakleismic[53]

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.

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.

See also

Retrieved from "https://en.xen.wiki/index.php?title=User:BudjarnLambeth/5-_to_10-tone_scales_in_91edo&oldid=209256"