User:BudjarnLambeth/5- to 10-tone scales in 91edo: Difference between revisions
m Removed some scales that don't sound great |
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* [[5- to 10-tone scales in 72edo]] | * [[5- to 10-tone scales in 72edo]] | ||
* [[5- to 10-tone scales in 84edo]] | * [[5- to 10-tone scales in 84edo]] | ||
* [[5- to 10-tone scales in 96edo]] | |||
[[Category:91edo]] | [[Category:91edo]] | ||
Revision as of 02:54, 4 February 2024
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
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
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 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 Harmonic Hexatonic
197.80219780219778
303.2967032967033
501.0989010989011
698.9010989010989
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 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
Tritonic[31]
Absurdity[42]
Palace
158.24175824175825
316.4835164835165
501.0989010989011
698.9010989010989
857.1428571428571
1015.3846153846154
1200.000
Parent scales (for reference)
Sfourth[46]
26.373626373626372
52.747252747252745
79.12087912087912
105.49450549450549
131.86813186813185
158.24175824175825
184.6153846153846
210.98901098901098
237.36263736263734
263.7362637362637
290.1098901098901
316.4835164835165
342.85714285714283
369.2307692307692
395.60439560439556
421.97802197802196
448.35164835164835
474.7252747252747
501.0989010989011
527.4725274725274
553.8461538461538
580.2197802197802
606.5934065934066
619.7802197802198
646.1538461538461
672.5274725274725
698.9010989010989
725.2747252747253
751.6483516483516
778.0219780219779
804.3956043956043
830.7692307692307
857.1428571428571
883.5164835164835
909.8901098901099
936.2637362637362
962.6373626373626
989.010989010989
1015.3846153846154
1041.7582417582416
1068.131868131868
1094.5054945054944
1120.8791208791208
1147.2527472527472
1173.6263736263736
1200.
Semaphore[9]
197.80219780219778
250.54945054945054
448.35164835164835
501.0989010989011
698.9010989010989
751.6483516483516
949.4505494505494
1002.1978021978022
1200.
Semaphore[19]
52.747252747252745
145.05494505494505
197.80219780219778
250.54945054945054
303.2967032967033
395.60439560439556
448.35164835164835
501.0989010989011
553.8461538461538
646.1538461538461
698.9010989010989
751.6483516483516
804.3956043956043
896.7032967032967
949.4505494505494
1002.1978021978022
1054.9450549450548
1147.2527472527472
1200.
Semaphore[43]
39.56043956043956
52.747252747252745
92.3076923076923
105.49450549450549
145.05494505494505
158.24175824175825
197.80219780219778
210.98901098901098
250.54945054945054
290.1098901098901
303.2967032967033
342.85714285714283
356.04395604395603
395.60439560439556
408.79120879120876
448.35164835164835
461.5384615384615
501.0989010989011
540.6593406593406
553.8461538461538
593.4065934065934
606.5934065934066
646.1538461538461
659.3406593406593
698.9010989010989
738.4615384615385
751.6483516483516
791.2087912087911
804.3956043956043
843.9560439560439
857.1428571428571
896.7032967032967
909.8901098901099
949.4505494505494
989.010989010989
1002.1978021978022
1041.7582417582416
1054.9450549450548
1094.5054945054944
1107.6923076923076
1147.2527472527472
1160.4395604395604
1200.
Septimin[23]
26.373626373626372
118.68131868131867
145.05494505494505
237.36263736263734
263.7362637362637
290.1098901098901
382.4175824175824
408.79120879120876
501.0989010989011
527.4725274725274
553.8461538461538
646.1538461538461
672.5274725274725
698.9010989010989
791.2087912087911
817.5824175824175
909.8901098901099
936.2637362637362
962.6373626373626
1054.9450549450548
1081.3186813186812
1173.6263736263736
1200.
Septimin[41]
26.373626373626372
52.747252747252745
92.3076923076923
118.68131868131867
145.05494505494505
171.42857142857142
210.98901098901098
237.36263736263734
263.7362637362637
290.1098901098901
316.4835164835165
356.04395604395603
382.4175824175824
408.79120879120876
435.16483516483515
474.7252747252747
501.0989010989011
527.4725274725274
553.8461538461538
580.2197802197802
619.7802197802198
646.1538461538461
672.5274725274725
698.9010989010989
725.2747252747253
764.8351648351648
791.2087912087911
817.5824175824175
843.9560439560439
883.5164835164835
909.8901098901099
936.2637362637362
962.6373626373626
989.010989010989
1028.5714285714284
1054.9450549450548
1081.3186813186812
1107.6923076923076
1147.2527472527472
1173.6263736263736
1200.
Catakleismic[15]
65.93406593406593
184.6153846153846
250.54945054945054
316.4835164835165
382.4175824175824
501.0989010989011
567.032967032967
632.967032967033
698.9010989010989
817.5824175824175
883.5164835164835
949.4505494505494
1015.3846153846154
1134.065934065934
1200.
Catakleismic[19]
65.93406593406593
131.86813186813185
184.6153846153846
250.54945054945054
316.4835164835165
382.4175824175824
448.35164835164835
501.0989010989011
567.032967032967
632.967032967033
698.9010989010989
751.6483516483516
817.5824175824175
883.5164835164835
949.4505494505494
1015.3846153846154
1068.131868131868
1134.065934065934
1200.
Catakleismic[53]
13.186813186813186
52.747252747252745
65.93406593406593
79.12087912087912
118.68131868131867
131.86813186813185
171.42857142857142
184.6153846153846
197.80219780219778
237.36263736263734
250.54945054945054
263.7362637362637
303.2967032967033
316.4835164835165
329.67032967032964
369.2307692307692
382.4175824175824
395.60439560439556
435.16483516483515
448.35164835164835
487.9120879120879
501.0989010989011
514.2857142857142
553.8461538461538
567.032967032967
580.2197802197802
619.7802197802198
632.967032967033
646.1538461538461
685.7142857142857
698.9010989010989
712.0879120879121
751.6483516483516
764.8351648351648
804.3956043956043
817.5824175824175
830.7692307692307
870.3296703296703
883.5164835164835
896.7032967032967
936.2637362637362
949.4505494505494
962.6373626373626
1002.1978021978022
1015.3846153846154
1028.5714285714284
1068.131868131868
1081.3186813186812
1120.8791208791208
1134.065934065934
1147.2527472527472
1186.8131868131868
1200.
Meantone / Domineering [12]
105.49450549450549
197.80219780219778
303.2967032967033
395.60439560439556
501.0989010989011
606.5934065934066
698.9010989010989
804.3956043956043
896.7032967032967
1002.1978021978022
1094.5054945054944
1200.
Meantone / Domineering [19]
92.3076923076923
105.49450549450549
197.80219780219778
290.1098901098901
303.2967032967033
395.60439560439556
408.79120879120876
501.0989010989011
593.4065934065934
606.5934065934066
698.9010989010989
791.2087912087911
804.3956043956043
896.7032967032967
909.8901098901099
1002.1978021978022
1094.5054945054944
1107.6923076923076
1200.
Meantone / Domineering [31]
13.186813186813186
92.3076923076923
105.49450549450549
184.6153846153846
197.80219780219778
210.98901098901098
290.1098901098901
303.2967032967033
316.4835164835165
395.60439560439556
408.79120879120876
487.9120879120879
501.0989010989011
514.2857142857142
593.4065934065934
606.5934065934066
685.7142857142857
698.9010989010989
712.0879120879121
791.2087912087911
804.3956043956043
883.5164835164835
896.7032967032967
909.8901098901099
989.010989010989
1002.1978021978022
1015.3846153846154
1094.5054945054944
1107.6923076923076
1186.8131868131868
1200.
Meantone / Domineering [43]
(see Meantone43 in 91edo
Meantone / Domineering [55]
(see Meantone55 in 91edo
Tritonic[25]
39.56043956043956
79.12087912087912
118.68131868131867
158.24175824175825
197.80219780219778
237.36263736263734
382.4175824175824
421.97802197802196
461.5384615384615
501.0989010989011
540.6593406593406
580.2197802197802
619.7802197802198
659.3406593406593
698.9010989010989
738.4615384615385
778.0219780219779
817.5824175824175
962.6373626373626
1002.1978021978022
1041.7582417582416
1081.3186813186812
1120.8791208791208
1160.4395604395604
1200.
Tritonic[31]
39.56043956043956
79.12087912087912
118.68131868131867
158.24175824175825
197.80219780219778
237.36263736263734
276.9230769230769
303.2967032967033
342.85714285714283
382.4175824175824
421.97802197802196
461.5384615384615
501.0989010989011
540.6593406593406
580.2197802197802
619.7802197802198
659.3406593406593
698.9010989010989
738.4615384615385
778.0219780219779
817.5824175824175
857.1428571428571
896.7032967032967
923.076923076923
962.6373626373626
1002.1978021978022
1041.7582417582416
1081.3186813186812
1120.8791208791208
1160.4395604395604
1200.
Absurdity[21]
13.186813186813186
158.24175824175825
171.42857142857142
Absurdity[42]
13.186813186813186
26.373626373626372
39.56043956043956
145.05494505494505
158.24175824175825
171.42857142857142