User:BudjarnLambeth/5- to 10-tone scales in 91edo: Difference between revisions
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=== [[Sfourth]][46] === | === [[Sfourth]][46] === | ||
Palace | Palace (approximated from [[Porky]] in [[29edo]]) | ||
158.24175824175825 | 158.24175824175825 | ||
| Line 27: | Line 27: | ||
=== [[Catakleismic]][53] === | === [[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. | 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 [[ | 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]]. | 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 52: | Line 52: | ||
Major Pentatonic | Major Pentatonic (approximated from [[12edo]]) | ||
197.80219780219778 | 197.80219780219778 | ||
| Line 66: | Line 66: | ||
Ionian Pentatonic | Ionian Pentatonic (approximated from [[12edo]]) | ||
395.60439560439556 | 395.60439560439556 | ||
| Line 79: | Line 79: | ||
==== Minor scales ==== | ==== Minor scales ==== | ||
Minor | Minor (approximated from [[12edo]]) | ||
197.80219780219778 | 197.80219780219778 | ||
| Line 96: | Line 96: | ||
Minor Harmonic | Minor Harmonic (approximated from [[12edo]]) | ||
197.80219780219778 | 197.80219780219778 | ||
| Line 113: | Line 113: | ||
Minor Hexatonic | Minor Hexatonic (approximated from [[12edo]]) | ||
197.80219780219778 | 197.80219780219778 | ||
| Line 128: | Line 128: | ||
Minor Melodic | Minor Melodic (approximated from [[12edo]]) | ||
197.80219780219778 | 197.80219780219778 | ||
| Line 145: | Line 145: | ||
Minor Pentatonic | Minor Pentatonic (approximated from [[12edo]]) | ||
303.2967032967033 | 303.2967032967033 | ||
| Line 158: | Line 158: | ||
==== Modal scales ==== | ==== Modal scales ==== | ||
Dorian | Dorian (approximated from [[12edo]]) | ||
197.80219780219778 | 197.80219780219778 | ||
| Line 175: | Line 175: | ||
Dorian Harmonic | Dorian Harmonic (approximated from [[12edo]]) | ||
197.80219780219778 | 197.80219780219778 | ||
| Line 192: | Line 192: | ||
Mixolydian | Mixolydian (approximated from [[12edo]]) | ||
197.80219780219778 | 197.80219780219778 | ||
| Line 209: | Line 209: | ||
Mixolydian Pentatonic | Mixolydian Pentatonic (approximated from [[12edo]]) | ||
395.60439560439556 | 395.60439560439556 | ||
| Line 222: | Line 222: | ||
Phrygian | Phrygian (approximated from [[12edo]]) | ||
105.49450549450549 | 105.49450549450549 | ||
| Line 239: | Line 239: | ||
Phrygian Dominant | Phrygian Dominant (approximated from [[12edo]]) | ||
105.49450549450549 | 105.49450549450549 | ||
| Line 256: | Line 256: | ||
Phrygian Dominant Hexatonic | Phrygian Dominant Hexatonic (approximated from [[12edo]]) | ||
105.49450549450549 | 105.49450549450549 | ||
| Line 271: | Line 271: | ||
Phrygian Dominant Pentatonic | Phrygian Dominant Pentatonic (approximated from [[12edo]]) | ||
395.60439560439556 | 395.60439560439556 | ||
| Line 284: | Line 284: | ||
Phrygian Pentatonic | Phrygian Pentatonic (approximated from [[12edo]]) | ||
105.49450549450549 | 105.49450549450549 | ||
| Line 297: | Line 297: | ||
==== Blues scales ==== | ==== Blues scales ==== | ||
[[Lost spirit]] | [[Lost spirit]] (approximated from [[Meantone]] in [[31edo]]) | ||
303.2967032967033 | 303.2967032967033 | ||
| Line 314: | Line 314: | ||
Greyed Skies | Greyed Skies (this is the original/default tuning) | ||
316.4835164835165 | 316.4835164835165 | ||
| Line 331: | Line 331: | ||
[[Blackened skies]] | [[Blackened skies]] (approximated from [[Compton]] in [[72edo]]) | ||
329.67032967032964 | 329.67032967032964 | ||
| Line 348: | Line 348: | ||
Blues Aeolian Hexatonic | Blues Aeolian Hexatonic (approximated from [[12edo]]) | ||
303.2967032967033 | 303.2967032967033 | ||
| Line 363: | Line 363: | ||
Blues Aeolian Pentatonic I | Blues Aeolian Pentatonic I (approximated from [[12edo]]) | ||
303.2967032967033 | 303.2967032967033 | ||
| Line 376: | Line 376: | ||
Blues Aeolian Pentatonic II | Blues Aeolian Pentatonic II (approximated from [[12edo]]) | ||
303.2967032967033 | 303.2967032967033 | ||
| Line 389: | Line 389: | ||
Blues Dorian Hexatonic | Blues Dorian Hexatonic (approximated from [[12edo]]) | ||
303.2967032967033 | 303.2967032967033 | ||
| Line 404: | Line 404: | ||
Blues Dorian Pentatonic | Blues Dorian Pentatonic (approximated from [[12edo]]) | ||
303.2967032967033 | 303.2967032967033 | ||
| Line 417: | Line 417: | ||
Blues Harmonic Hexatonic | Blues Harmonic Hexatonic (approximated from [[12edo]]) | ||
197.80219780219778 | 197.80219780219778 | ||
| Line 432: | Line 432: | ||
Blues Leading | Blues Leading (approximated from [[12edo]]) | ||
303.2967032967033 | 303.2967032967033 | ||
| Line 449: | Line 449: | ||
Blues Minor | Blues Minor (approximated from [[12edo]]) | ||
303.2967032967033 | 303.2967032967033 | ||
| Line 464: | Line 464: | ||
Blues Pentachordal | Blues Pentachordal (approximated from [[12edo]]) | ||
197.80219780219778 | 197.80219780219778 | ||
| Line 479: | Line 479: | ||
==== Other scales ==== | ==== Other scales ==== | ||
Augmented | Augmented (approximated from [[12edo]]) | ||
303.2967032967033 | 303.2967032967033 | ||
| Line 494: | Line 494: | ||
Dominant Pentatonic | Dominant Pentatonic (approximated from [[12edo]]) | ||
197.80219780219778 | 197.80219780219778 | ||
| Line 507: | Line 507: | ||
Double Harmonic | Double Harmonic (approximated from [[12edo]]) | ||
92.3076923076923 | 92.3076923076923 | ||
| Line 524: | Line 524: | ||
Hirajoshi | Hirajoshi (approximated from [[12edo]]) | ||
197.80219780219778 | 197.80219780219778 | ||
| Line 537: | Line 537: | ||
Javanese Pentachordal | Javanese Pentachordal (approximated from [[12edo]]) | ||
105.49450549450549 | 105.49450549450549 | ||
| Line 550: | Line 550: | ||
Akebono I | Akebono I (approximated from [[12edo]]) | ||
197.80219780219778 | 197.80219780219778 | ||
| Line 563: | Line 563: | ||
Cosmic | Cosmic (approximated from [[32afdo]]) | ||
501.0989010989011 | 501.0989010989011 | ||
| Line 576: | Line 576: | ||
Sharpened Cosmic | Sharpened Cosmic (approximated from [[Compton]] in [[96edo]]) | ||
501.0989010989011 | 501.0989010989011 | ||
| Line 592: | Line 592: | ||
=== [[Absurdity]][42] === | === [[Absurdity]][42] === | ||
Palace | Palace (approximated from [[Porky]] in [[29edo]]) | ||
158.24175824175825 | 158.24175824175825 | ||
| Line 605: | Line 605: | ||
1015.3846153846154 | 1015.3846153846154 | ||
1200. | 1200. | ||
| Line 1,583: | Line 610: | ||
== Other scales == | == Other scales == | ||
Spectral Cosmic | Spectral Cosmic (approximated from [[32afdo]]) | ||
* 514.2857142857142 | * 514.2857142857142 | ||
* 698.9010989010989 | * 698.9010989010989 | ||
| Line 1,595: | Line 622: | ||
** [[1/7-comma meantone]] | ** [[1/7-comma meantone]] | ||
** [[Domineering]] | ** [[Domineering]] | ||
* [[Fractional-octave temperaments]] | * [[Fractional-octave temperaments]] | ||
** [[5- to 10-tone scales in 60edo]] | ** [[5- to 10-tone scales in 60edo]] | ||
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.