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| === [[Catakleismic]][53] === | | === [[Catakleismic]][53] === |
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| === [[Meantone]]/[[Domineering]][55] === | | === [[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. |
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| 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. | | 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. |
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| The scales listed in this section are subsets of [[Meantone55 in 91edo]]. | | The scales listed in this section are subsets of [[Meantone55 in 91edo]]. |
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| 1015.3846153846154 | | 1015.3846153846154 |
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| 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]
| |
| 13.18681318681319
| |
|
| |
| 158.24175824175822
| |
|
| |
| 171.42857142857142
| |
|
| |
| 184.61538461538461
| |
|
| |
| 329.67032967032964
| |
|
| |
| 342.85714285714283
| |
|
| |
| 356.04395604395603
| |
|
| |
| 501.09890109890102
| |
|
| |
| 514.28571428571422
| |
|
| |
| 527.47252747252742
| |
|
| |
| 672.52747252747247
| |
|
| |
| 685.71428571428567
| |
|
| |
| 698.90109890109886
| |
|
| |
| 843.95604395604391
| |
|
| |
| 857.14285714285711
| |
|
| |
| 870.32967032967031
| |
|
| |
| 1015.38461538461536
| |
|
| |
| 1028.57142857142844
| |
|
| |
| 1041.75824175824164
| |
|
| |
| 1186.81318681318658
| |
|
| |
| 1200.
| |
|
| |
|
| |
|
| |
| Absurdity[42]
| |
|
| |
| 13.18681318681319
| |
|
| |
| 26.37362637362637
| |
|
| |
| 131.86813186813185
| |
|
| |
| 145.05494505494505
| |
|
| |
| 158.24175824175822
| |
|
| |
| 171.42857142857142
| |
|
| |
| 184.61538461538461
| |
|
| |
| 197.80219780219778
| |
|
| |
| 303.2967032967033
| |
|
| |
| 316.4835164835165
| |
|
| |
| 329.67032967032964
| |
|
| |
| 342.85714285714283
| |
|
| |
| 356.04395604395603
| |
|
| |
| 369.23076923076923
| |
|
| |
| 474.72527472527469
| |
|
| |
| 487.91208791208788
| |
|
| |
| 501.09890109890102
| |
|
| |
| 514.28571428571422
| |
|
| |
| 527.47252747252742
| |
|
| |
| 540.65934065934061
| |
|
| |
| 646.15384615384608
| |
|
| |
| 659.34065934065927
| |
|
| |
| 672.52747252747247
| |
|
| |
| 685.71428571428567
| |
|
| |
| 698.90109890109886
| |
|
| |
| 712.08791208791206
| |
|
| |
| 817.58241758241752
| |
|
| |
| 830.76923076923072
| |
|
| |
| 843.95604395604391
| |
|
| |
| 857.14285714285711
| |
|
| |
| 870.32967032967031
| |
|
| |
| 883.5164835164835
| |
|
| |
| 989.01098901098896
| |
|
| |
| 1002.19780219780216
| |
|
| |
| 1015.38461538461536
| |
|
| |
| 1028.57142857142844
| |
|
| |
| 1041.75824175824164
| |
|
| |
| 1054.94505494505484
| |
|
| |
| 1160.43956043956041
| |
|
| |
| 1173.62637362637361
| |
|
| |
| 1186.81318681318658
| |
|
| |
|
| 1200. | | 1200. |