User:BudjarnLambeth/5- to 10-tone scales in 91edo: Difference between revisions
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Revision as of 01:38, 8 January 2024
This article lists some 5- to 10-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.
Regular temperament subsets
Sfourth
Quartkeenlig
Swetneus
Semaphore
Septimin
Catakleismic
Supermajor
Semidimfourth
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 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
197.80219780219778
395.60439560439556
501.0989010989011
698.9010989010989
896.7032967032967
1094.5054945054944
1200.000
Major Pentatonic
197.80219780219778
395.60439560439556
698.9010989010989
896.7032967032967
1200.000
Ionian Pentatonic
395.60439560439556
501.0989010989011
698.9010989010989
1094.5054945054944
1200.000
Minor scales
Minor
197.80219780219778
303.2967032967033
501.0989010989011
698.9010989010989
804.3956043956043
1002.1978021978022
1200.000
Minor Harmonic
197.80219780219778
303.2967032967033
501.0989010989011
698.9010989010989
804.3956043956043
1094.5054945054944
1200.000
Minor Hexatonic
197.80219780219778
303.2967032967033
501.0989010989011
698.9010989010989
1002.1978021978022
1200.000
Minor Melodic
197.80219780219778
303.2967032967033
501.0989010989011
698.9010989010989
896.7032967032967
1094.5054945054944
1200.000
Minor Pentatonic
303.2967032967033
501.0989010989011
698.9010989010989
1002.1978021978022
1200.000
Modal scales
Dorian
197.80219780219778
303.2967032967033
501.0989010989011
698.9010989010989
896.7032967032967
1002.1978021978022
1200.000
Dorian Harmonic
197.80219780219778
303.2967032967033
606.5934065934066
698.9010989010989
896.7032967032967
1002.1978021978022
1200.
Mixolydian
197.80219780219778
395.60439560439556
501.0989010989011
698.9010989010989
896.7032967032967
1002.1978021978022
1200.000
Mixolydian Pentatonic
395.60439560439556
501.0989010989011
698.9010989010989
1002.1978021978022
1200.000
Phrygian
105.49450549450549
303.2967032967033
501.0989010989011
698.9010989010989
804.3956043956043
1002.1978021978022
1200.000
Phrygian Dominant
105.49450549450549
395.60439560439556
501.0989010989011
698.9010989010989
804.3956043956043
1002.1978021978022
1200.000
Phrygian Dominant Hexatonic
105.49450549450549
395.60439560439556
501.0989010989011
698.9010989010989
1002.1978021978022
1200.000
Phrygian Dominant Pentatonic
395.60439560439556
501.0989010989011
698.9010989010989
804.3956043956043
1200.000
Phrygian Pentatonic
105.49450549450549
303.2967032967033
698.9010989010989
804.3956043956043
1200.000
Blues scales
303.2967032967033
501.0989010989011
619.7802197802198
698.9010989010989
923.076923076923
1002.1978021978022
1200.000
Greyed Skies
316.4835164835165
501.0989010989011
593.4065934065934
698.9010989010989
791.2087912087911
1107.6923076923076
1200.000
329.67032967032964
501.0989010989011
580.2197802197802
698.9010989010989
778.0219780219779
1120.8791208791208
1200.000
Blues Aeolian Hexatonic
303.2967032967033
501.0989010989011
606.5934065934066
698.9010989010989
804.3956043956043
1200.000
Blues Aeolian Pentatonic I
303.2967032967033
501.0989010989011
698.9010989010989
804.3956043956043
1200.000
Blues Aeolian Pentatonic II
303.2967032967033
698.9010989010989
804.3956043956043
1002.1978021978022
1200.000
Blues Bright Double Harmonic
105.49450549450549
395.60439560439556
501.0989010989011
698.9010989010989
804.3956043956043
1002.1978021978022
1107.6923076923076
1200.000
Blues Dark Double Harmonic
197.80219780219778
303.2967032967033
501.0989010989011
606.5934065934066
698.9010989010989
804.3956043956043
1094.5054945054944
1200.000
Blues Dorian Hexatonic
303.2967032967033
501.0989010989011
698.9010989010989
896.7032967032967
1002.1978021978022
1200.000
Blues Dorian Pentatonic
303.2967032967033
698.9010989010989
896.7032967032967
1002.1978021978022
1200.000
Blues Dorian Septatonic
303.2967032967033
501.0989010989011
606.5934065934066
698.9010989010989
896.7032967032967
1002.1978021978022
1200.000
Blues Harmonic Hexatonic
197.80219780219778
303.2967032967033
501.0989010989011
698.9010989010989
1094.5054945054944
1200.000
Blues Harmonic Septatonic
303.2967032967033
501.0989010989011
606.5934065934066
698.9010989010989
804.3956043956043
1094.5054945054944
1200.000
Blues Leading
303.2967032967033
501.0989010989011
606.5934065934066
698.9010989010989
1002.1978021978022
1107.6923076923076
1200.000
Blues Minor
303.2967032967033
501.0989010989011
606.5934065934066
698.9010989010989
1002.1978021978022
1200.000
Blues Minor Maj7
303.2967032967033
501.0989010989011
606.5934065934066
698.9010989010989
1094.5054945054944
1200.000
Blues Pentachordal
197.80219780219778
303.2967032967033
501.0989010989011
593.4065934065934
698.9010989010989
1200.000
Other scales
Augmented
303.2967032967033
408.79120879120876
698.9010989010989
804.3956043956043
1094.5054945054944
1200.000
Dominant Pentatonic
197.80219780219778
395.60439560439556
698.9010989010989
1002.1978021978022
1200.000
Double Harmonic
92.3076923076923
408.79120879120876
501.0989010989011
698.9010989010989
791.2087912087911
1107.6923076923076
1200.000
Hirajoshi
197.80219780219778
303.2967032967033
698.9010989010989
804.3956043956043
1200.000
Javanese Pentachordal
105.49450549450549
303.2967032967033
606.5934065934066
698.9010989010989
1200.000
Kokin-Joshi
197.80219780219778
303.2967032967033
698.9010989010989
896.7032967032967
1200.000
Cosmic
501.0989010989011
698.9010989010989
804.3956043956043
1002.1978021978022
1200.000