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


== [[Regular temperament]] subsets ==
== [[Regular temperament]] subsets ==


=== [[Sfourth]] ===
=== [[Sfourth]][46] ===
 
=== [[Quartkeenlig]] ===
 
=== [[Swetneus]] ===
 
=== [[Semaphore]] ===
 
=== [[Septimin]] ===


=== [[Catakleismic]] ===
=== [[Semaphore]][43] ===


=== [[Supermajor]] ===
=== [[Septimin]][41] ===


=== [[Semidimfourth]] ===
=== [[Catakleismic]][53] ===


===  [[Meantone]] / [[Domineering]] ===
===  [[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.  


Line 654: Line 648:
1200.000
1200.000


=== [[Tritonic]] ===
=== [[Tritonic]][31] ===
 
=== [[Absurdity]][42] ===
 
=== 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


=== [[Absurdity]] ===
171.42857142857142


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


== Other scales ==
== Other scales ==