User:BudjarnLambeth/5- to 10-tone scales in 91edo: Difference between revisions
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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] === | ||
=== [[ | === [[Semaphore]][43] === | ||
=== [[ | === [[Septimin]][41] === | ||
=== [[ | === [[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 | |||
171.42857142857142 | |||
== Other scales == | == Other scales == | ||