Xenharmonic Wiki

User:Moremajorthanmajor/9L 4s (minor fourteenth-equivalent): Difference between revisions

← Older edit
VisualWikitext
 
(One intermediate revision by the same user not shown)
Line 22: Line 22:
{| class="wikitable"
{| class="wikitable"
|+Cents
|+Cents
! colspan="2" |Notation
!Notation
!Supersoft
!Supersoft
!Soft
!Soft
Line 30: Line 30:
!Hard
!Hard
!Superhard
!Superhard
|-
!Shōsūshī
!Petrushka
!
!
!
!
!
!
!
|-
|-
|か (く#)
|か (く#)
|А#
|1\48, 46.154
|1\48, 46.154
|1\35, 63.158
|1\35, 63.158
Line 49: Line 38:
|3\53, 124.138
|3\53, 124.138
|2\31, 141.176
|2\31, 141.176
|3\40, 163.{{Overline|63}}
|3\40, 163.636
|-
|-
|そ (すb)
|そ (すb)
|Бь
|3\48, 138.462
|3\48, 138.462
|2\35, 126.316
|2\35, 126.316
Line 58: Line 46:
|2\53, 82.759
|2\53, 82.759
|1\31, 70.588
|1\31, 70.588
|1\40, 54.{{Overline|54}}
|1\40, 54.545
|-
|-
|す
| す
|Б
|4\48, 184.615
|4\48, 184.615
|3\35, 189.454
|3\35, 189.454
Line 68: Line 55:
|5\53, 206.897
|5\53, 206.897
|3\31, 211.765
|3\31, 211.765
|4\40, 218.{{Overline|18}}
|4\40, 218.182
|-
|-
|さ (す#)
|さ (す#)
|Б#
|5\48, 230.769
|5\48, 230.769
|4\35, 252.632
|4\35, 252.632
Line 78: Line 64:
|8\53, 331.034
|8\53, 331.034
|5\31, 352.941
|5\31, 352.941
|7\40, 381.{{Overline|81}}
| 7\40, 381.818
|-
|-
|と (つb)
|と (つb)
|Вь
|7\48, 323.077
|7\48, 323.077
|5\35, 315.789
|5\35, 315.789
Line 87: Line 72:
|7\53, 289.655
|7\53, 289.655
|4\31, 282.353
|4\31, 282.353
|5\40, 272.{{Overline|72}}
|5\40, 272.727
|-
|-
|つ
|つ
|В
|8\48, 369.231
|8\48, 369.231
|6\35, 378.947
|6\35, 378.947
Line 97: Line 81:
|10\53, 413.739
|10\53, 413.739
|6\31, 423.529
|6\31, 423.529
|8\40, 436.{{Overline|36}}
|8\40, 436.364
|-
|-
|た (つ#)
|た (つ#)
|В#
| 9\48, 415.385
|9\48, 415.385
| rowspan="2" |7\35, 442.105
| rowspan="2" |7\35, 442.105
|12\57, 464.516
|12\57, 464.516
|5\22, 500
|5\22, 500
|13\53, 537.069
|13\53, 537.069
|8\31, 564.706
| 8\31, 564.706
|11\40, 600
|11\40, 600
|-
|-
|の (ぬb)
|の (ぬb)
|Гь
|10\48. 461.538
|10\48. 461.538
|11\57, 425.806
|11\57, 425.806
Line 116: Line 98:
|9\53, 372.414
|9\53, 372.414
|5\31, 352.941
|5\31, 352.941
|6\40, 327.{{Overline|27}}
|6\40, 327.273
|-
|-
|'''ぬ'''
|'''ぬ'''
|Г
|'''11\48,''' '''507.692'''
|'''11\48,''' '''507.692'''
|'''8\35,''' '''505.263'''
|'''8\35,''' '''505.263'''
Line 126: Line 107:
|'''12\53,''' '''496.552'''
|'''12\53,''' '''496.552'''
|'''7\31,''' '''494.118'''
|'''7\31,''' '''494.118'''
|'''9\40,''' '''490.{{Overline|90}}'''
|'''9\40,''' '''490.909'''
|-
|-
|な (ぬ#)
|な (ぬ#)
|Г#
|12\48, 553.846
|12\48, 553.846
|9\35, 568.421
|9\35, 568.421
Line 136: Line 116:
|15\53, 620.690
|15\53, 620.690
|9\31, 635.294
|9\31, 635.294
|12\40, 654.{{Overline|54}}
|12\40, 654.545
|-
|-
|ほ (ふb)
|ほ (ふb)
|Дь
|14\48, 646.154
|14\48, 646.154
|10\35, 631.579
|10\35, 631.579
|16\57, 619.355
|16\57, 619.355
|14\53, 579.310
| 14\53, 579.310
|8\31, 564.706
| 8\31, 564.706
|10\40, 545.{{Overline|45}}
|10\40, 545.455
|-
|-
|ふ
|ふ
|Д
|15\48, 692.308
|15\48, 692.308
|11\35, 694.737
|11\35, 694.737
Line 155: Line 133:
|17\53, 703.448
|17\53, 703.448
|10\31, 705.882
|10\31, 705.882
|13\40, 709.{{Overline|09}}
|13\40, 709.091
|-
|-
|は (ふ#)
|は (ふ#)
|Д#
|16\48, 738.462
|16\48, 738.462
|12\35, 757.895
|12\35, 757.895
Line 165: Line 142:
|20\53, 827.586
|20\53, 827.586
|12\31, 847.059
|12\31, 847.059
|16\40, 872.{{Overline|72}}
|16\40, 872.727
|-
|-
|も (むb)
|も (むb)
|Еь
|18\48, 830.769
|18\48, 830.769
|13\35, 821.053
|13\35, 821.053
Line 174: Line 150:
|19\53, 786.261
|19\53, 786.261
|11\31, 776.471
|11\31, 776.471
|14\40, 763.{{Overline|63}}
|14\40, 763.636
|-
|-
|む
|む
|Е
|19\48, 876.923
|19\48, 876.923
|14\35, 884.211
|14\35, 884.211
Line 184: Line 159:
|22\53, 910.345
|22\53, 910.345
|13\31, 917.647
|13\31, 917.647
|17\40, 927.{{Overline|27}}
|17\40, 927.273
|-
|-
|よ (む#)
|よ (む#)
|Е#
|20\48, 923.077
|20\48, 923.077
|15\35, 947.638
|15\35, 947.638
Line 194: Line 168:
|25\53, 1034.483
|25\53, 1034.483
|15\31, 1058.824
|15\31, 1058.824
|20\40, 1090.{{Overline|90}}
|20\40, 1090.909
|-
|-
|け (ゆb)
|け (ゆb)
|Ёь
|22\48, 1015.385
|22\48, 1015.385
|16\35, 1010.526
|16\35, 1010.526
Line 203: Line 176:
|24\53, 993.103
|24\53, 993.103
|14\31, 988.235
|14\31, 988.235
|18\40, 981.{{Overline|81}}
|18\40, 981.818
|-
|-
|ゆ
| ゆ
|Ё
|23\48, 1061.538
|23\48, 1061.538
|17\35, 1073.684
|17\35, 1073.684
Line 213: Line 185:
|27\53, 1117.241
|27\53, 1117.241
|16\31, 1129.412
|16\31, 1129.412
|21\40, 1145.{{Overline|45}}
|21\40, 1145.45
|-
|-
|や (ゆ#)
|や (ゆ#)
|Ё#
|24\48, 1107.692
|24\48, 1107.692
| rowspan="2" |18\35, 1136.842
| rowspan="2" |18\35, 1136.842
Line 223: Line 194:
|30\29, 1241.176
|30\29, 1241.176
|15\31, 1058.824
|15\31, 1058.824
|24\40, 1309.{{Overline|09}}
|24\40, 1309.091
|-
|-
|ま (きb)
|ま (きb)
|Жь
|25\48, 1153.846
|25\48, 1153.846
|29\57, 1122.581
|29\57, 1122.581
Line 232: Line 202:
|26\53, 1075.862
|26\53, 1075.862
|18\31, 1270.588
|18\31, 1270.588
|19\40, 1036.{{Overline|36}}
|19\40, 1036.364
|-
|-
|き
|き
|Ж
|26\48, 1200
|26\48, 1200
|19\35, 1200
|19\35, 1200
Line 245: Line 214:
|-
|-
|き#
|き#
|Ж#
|27\48, 1246.154
|27\48, 1246.154
|20\35, 1263.158
|20\35, 1263.158
Line 252: Line 220:
|32\53, 1324.138
|32\53, 1324.138
|18\31, 1270.588
|18\31, 1270.588
|25\40, 1363.{{Overline|63}}
|25\40, 1363.636
|-
|-
|せ (しb)
|せ (しb)
|Зь
|29\48, 1338.462
|29\48, 1338.462
|21\35, 1326.316
|21\35, 1326.316
Line 261: Line 228:
|31\53, 1282.759
|31\53, 1282.759
|19\31, 1341.176
|19\31, 1341.176
|23\40, 1254.{{Overline|54}}
| 23\40, 1254.545
|-
|-
|し
|し
|З
|30\48, 1384.615
|30\48, 1384.615
|22\35, 1389.474
|22\35, 1389.474
Line 271: Line 237:
|34\53, 1406.897
|34\53, 1406.897
|20\31, 1411.765
|20\31, 1411.765
|26\40, 1418.{{Overline|18}}
|26\40, 1418.182
|-
|-
|し#
|し#
|З#
|31\48, 1430.769
|31\48, 1430.769
|23\35, 1452.632
|23\35, 1452.632
Line 281: Line 246:
|37\53, 1531.034
|37\53, 1531.034
|22\31, 1552.941
|22\31, 1552.941
|29\40, 1581.{{Overline|81}}
|29\40, 1581.818
|-
|-
|て (ちb)
|て (ちb)
|Иь
|33\48, 1523.077
|33\48, 1523.077
|24\35, 1515.789
|24\35, 1515.789
Line 290: Line 254:
|36\53, 1489.655
|36\53, 1489.655
|21\31, 1482.353
|21\31, 1482.353
|27\40, 1472.{{Overline|72}}
|27\40, 1472.727
|-
|-
|ち
|ち
|И
|34\48, 1569.231
|34\48, 1569.231
|25\35, 1578.947
|25\35, 1578.947
|41\57, 1587.097
|41\57, 1587.097
|16\22, 1600
|16\22, 1600
|39\53, 1613.793
| 39\53, 1613.793
|23\31, 1623.529
|23\31, 1623.529
|30\40, 1636.{{Overline|36}}
|30\40, 1636.364
|-
|-
|ち#
|ち#
|И#
|35\48, 1615.385
|35\48, 1615.385
| rowspan="2" |26\35, 1642.105
| rowspan="2" |26\35, 1642.105
Line 313: Line 275:
|-
|-
|ね (にb)
|ね (にb)
|Йь
|36\48, 1661.538
|36\48, 1661.538
|42\57, 1625.806
|42\57, 1625.806
Line 319: Line 280:
|38\53, 1572.414
|38\53, 1572.414
|22\31, 1552.941
|22\31, 1552.941
|28\40, 1527.{{Overline|27}}
|28\40, 1527.273
|-
|-
|'''に'''
|'''に'''
|Й
|'''37\48,''' '''1707.692'''
|'''37\48,''' '''1707.692'''
|'''27\35,''' '''1705.263'''
|'''27\35,''' '''1705.263'''
Line 329: Line 289:
|'''41\53,''' '''1696.552'''
|'''41\53,''' '''1696.552'''
|'''24\31,''' '''1694.118'''
|'''24\31,''' '''1694.118'''
|'''31\40,''' '''1690.{{Overline|90}}'''
|'''31\40,''' '''1690.909'''
|-
|-
|に#
|に#
|Й#
|38\48, 1753.846
|38\48, 1753.846
|28\35, 1768.421
|28\35, 1768.421
|46\57, 1780.645
|46\57, 1780.645
| rowspan="2" |18\22, 1800
| rowspan="2" | 18\22, 1800
|44\53, 1820.690
|44\53, 1820.690
|26\31, 1835.294
|26\31, 1835.294
|34\40, 1854.{{Overline|54}}
|34\40, 1854.545
|-
|-
|へ (ひb)
|へ (ひb)
|Кь
|40\48, 1846.158
|40\48, 1846.158
|29\35, 1831.579
|29\35, 1831.579
|47\57, 1819.355
|47\57, 1819.355
|43\53, 1779.310
| 43\53, 1779.310
|25\31, 1764.706
|25\31, 1764.706
|32\40, 1745.{{Overline|45}}
|32\40, 1745.455
|-
|-
|ひ
|ひ
|К
|41\48, 1892.308
|41\48, 1892.308
|30\35, 1894.737
| 30\35, 1894.737
|49\57, 1896.774
|49\57, 1896.774
|19\22, 1900
|19\22, 1900
|46\53, 1903.448
|46\53, 1903.448
|27\31, 1905.882
|27\31, 1905.882
|35\40, 1909.{{Overline|09}}
|35\40, 1909.091
|-
|-
|ひ#
|ひ#
|К#
|42\48, 1938.462
|42\48, 1938.462
|31\35, 1957.895
|31\35, 1957.895
|51\57, 1974.194
|51\57, 1974.194
| rowspan="2" |20\22, 2000
| rowspan="2" |20\22, 2000
|49\53, 2027.586
| 49\53, 2027.586
|29\31, 2047.059
|29\31, 2047.059
|38\40, 2072.{{Overline|72}}
|38\40, 2072.727
|-
|-
|め (みb)
|め (みb)
|Ль
|44\48, 2030.769
|44\48, 2030.769
|32\35, 2021.053
|32\35, 2021.053
Line 377: Line 332:
|48\53, 1986.207
|48\53, 1986.207
|28\31, 1976.471
|28\31, 1976.471
|36\40, 1963.{{Overline|63}}
|36\40, 1963.636
|-
|-
|み
|み
|Л
|45\48, 2076.923
|45\48, 2076.923
|33\35, 2084.211
|33\35, 2084.211
Line 387: Line 341:
|51\53, 2110.345
|51\53, 2110.345
|30\31, 2117.647
|30\31, 2117.647
|39\40, 2127.{{Overline|27}}
|39\40, 2127.273
|-
|-
|み#
|み#
|Л#
|46\48, 2123.077
|46\48, 2123.077
| rowspan="2" |34\35, 2147.368
| rowspan="2" | 34\35, 2147.368
|56\57, 2167.742
|56\57, 2167.742
|22\22, 2200
|22\22, 2200
|54\53, 2234.483
|54\53, 2234.483
|32\31, 2258.824
|32\31, 2258.824
|42\40, 2290.{{Overline|90}}
|42\40, 2290.909
|-
|-
|こ (くb)
|こ (くb)
|Мь
|47\48, 2169.231
|47\48, 2169.231
|55\57, 2129.032
|55\57, 2129.032
Line 406: Line 358:
|50\53, 2068.966
|50\53, 2068.966
|29\31, 2047.059
|29\31, 2047.059
|37\40, 2018.{{Overline|18}}
|37\40, 2018.182
|-
|-
!く
!く
!М
!48\48, 2215.385
!48\48, 2215.385
!35\35, 2210.526
!35\35, 2210.526
Line 416: Line 367:
!53\53, 2193.103
!53\53, 2193.103
!31\31, 2188.235
!31\31, 2188.235
!40\40, 2181.{{Overline|81}}
!40\40, 2181.818
|-
|-
|か (く#)
|か (く#)
|М#
|49\48, 2261.538
|49\48, 2261.538
|36\35, 2273.684
|36\35, 2273.684
Line 426: Line 376:
|56\53, 2317.241
|56\53, 2317.241
|33\31, 2329.418
|33\31, 2329.418
|43\40, 2345.{{Overline|45}}
|43\40, 2345.455
|-
|-
|そ (すb)
|そ (すb)
|Нь
|51\48, 2353.846
|51\48, 2353.846
|37\35, 2336.842
|37\35, 2336.842
Line 435: Line 384:
|55\53, 2275.862
|55\53, 2275.862
|32\31, 2258.854
|32\31, 2258.854
|41\40, 2236.{{Overline|36}}
|41\40, 2236.363
|-
|-
|す
|す
|Н
|52\48, 2400
|52\48, 2400
|38\35, 2400
|38\35, 2400
|62\57, 2400
|62\57, 2400
|24\22, 2400
| 24\22, 2400
|58\53, 2400
|58\53, 2400
|34\31, 2400
|34\31, 2400
Line 448: Line 396:
|-
|-
|さ (す#)
|さ (す#)
|Н#
|53\48, 2446.154
|53\48, 2446.154
|39\35, 2463.158
|39\35, 2463.158
Line 455: Line 402:
|61\53, 2524.138
|61\53, 2524.138
|36\31, 2541.176
|36\31, 2541.176
|47\40, 2563.{{Overline|63}}
|47\40, 2563.636
|-
|-
|と (つb)
|と (つb)
|Оь
|55\48, 2538.462
|55\48, 2538.462
|40\35, 2526.316
|40\35, 2526.316
Line 464: Line 410:
|60\53, 2482.759
|60\53, 2482.759
|35\31, 2570.588
|35\31, 2570.588
|45\40, 2454.{{Overline|54}}
|45\40, 2454.545
|-
|-
|つ
|つ
|О
|56\48, 2584.615
|56\48, 2584.615
|41\35, 2589.474
|41\35, 2589.474
Line 474: Line 419:
|63\53, 2606.897
|63\53, 2606.897
|37\31, 2611.765
|37\31, 2611.765
|48\40, 2618.{{Overline|18}}
|48\40, 2618.182
|-
|-
|た (つ#)
|た (つ#)
|О#
|57\48, 2630.792
|57\48, 2630.792
| rowspan="2" |42\35, 2652.632
| rowspan="2" | 42\35, 2652.632
|69\57, 2670.968
|69\57, 2670.968
|27\22, 2700
|27\22, 2700
|66\53, 2731.034
|66\53, 2731.034
|39\31, 2752.941
|39\31, 2752.941
|51\40, 2781.{{Overline|81}}
|51\40, 2781.818
|-
|-
|の (ぬb)
|の (ぬb)
|Пь
|58\48, 2676.923
|58\48, 2676.923
|68\57, 2632.258
|68\57, 2632.258
Line 493: Line 436:
|62\53, 2565.517
|62\53, 2565.517
|36\31, 2541.176
|36\31, 2541.176
|46\40, 2509.{{Overline|09}}
|46\40, 2509.091
|-
|-
|'''ぬ'''
|'''ぬ'''
|'''П'''
|'''59\48, 2723.077'''
|'''59\48, 2723.077'''
|'''43\35, 2715.789'''
|'''43\35, 2715.789'''
Line 503: Line 445:
|'''65\53, 2689.655'''
|'''65\53, 2689.655'''
|'''38\31, 2682.353'''
|'''38\31, 2682.353'''
|'''49\40, 2672.{{Overline|72}}'''
|'''49\40, 2672.72'''
|-
|-
|な (ぬ#)
|な (ぬ#)
|П#
|60\48, 2769.321
|60\48, 2769.321
|44\35, 2778.947
|44\35, 2778.947
Line 513: Line 454:
|68\53, 2813.739
|68\53, 2813.739
|40\31, 2823.529
|40\31, 2823.529
|52\40, 2836.{{Overline|36}}
|52\40, 2836.363
|-
|-
|ほ (ふb)
|ほ (ふb)
|Рь
|62\48, 2861.538
|62\48, 2861.538
|45\35, 2842.105
|45\35, 2842.105
Line 522: Line 462:
|67\53, 2772.414
|67\53, 2772.414
|39\31, 2752.941
|39\31, 2752.941
|51\40, 2781.{{Overline|81}}
|51\40, 2781.818
|-
|-
|ふ
|ふ
|Р
|63\48, 2907.692
|63\48, 2907.692
|46\35, 2905.263
|46\35, 2905.263
Line 532: Line 471:
|70\53, 2896.552
|70\53, 2896.552
|41\31, 2894.118
|41\31, 2894.118
|53\40, 2890.{{Overline|90}}
|53\40, 2890.909
|-
|-
|は (ふ#)
|は (ふ#)
|Р#
|64\48, 2953.846
|64\48, 2953.846
|47\35, 2968.421
|47\35, 2968.421
Line 542: Line 480:
|73\53, 3020.690
|73\53, 3020.690
|43\31, 3035.294
|43\31, 3035.294
|56\40, 3054.{{Overline|54}}
|56\40, 3054.545
|-
|-
|も (むb)
|も (むb)
|Сь
|66\48, 3046.154
|66\48, 3046.154
|48\35, 3031.579
|48\35, 3031.579
Line 551: Line 488:
|72\53, 2979.310
|72\53, 2979.310
|42\31, 2964.706
|42\31, 2964.706
|54\40, 2945.{{Overline|45}}
|54\40, 2945.455
|-
|-
|む
|む
|С
|67\48, 3092.308
|67\48, 3092.308
|49\35, 3094.737
|49\35, 3094.737
|80\57, 3096.774
| 80\57, 3096.774
|31\22, 3100
| 31\22, 3100
|75\53, 3103.448
|75\53, 3103.448
|44\31, 3105.882
|44\31, 3105.882
|57\40, 3109.{{Overline|09}}
|57\40, 3109.090
|-
|-
|よ (む#)
|よ (む#)
|С#
|68\48, 3138.462
|68\48, 3138.462
|50\35, 3157.895
|50\35, 3157.895
Line 571: Line 506:
|78\53, 3227.586
|78\53, 3227.586
|46\31, 3247.059
|46\31, 3247.059
|60\40, 3272.{{Overline|72}}
|60\40, 3272.727
|-
|-
|け (ゆb)
|け (ゆb)
|Ть
|70\48, 3230.769
|70\48, 3230.769
|51\35, 3221.053
|51\35, 3221.053
Line 580: Line 514:
|77\53, 3186.207
|77\53, 3186.207
|45\31, 3176.471
|45\31, 3176.471
|59\40, 3163.{{Overline|63}}
|58\40, 3163.636
|-
|-
|ゆ
|ゆ
|Т
|71\48, 3276.923
|71\48, 3276.923
|52\35, 3284.211
|52\35, 3284.211
Line 590: Line 523:
|80\53, 3310.345
|80\53, 3310.345
|47\31, 3317.647
|47\31, 3317.647
|61\40, 3327.{{Overline|27}}
|61\40, 3327.273
|-
|-
|や (ゆ#)
|や (ゆ#)
|Т#
|72\48, 3323.077
|72\48, 3323.077
| rowspan="2" |53\35, 3347.368
| rowspan="2" |53\35, 3347.368
Line 600: Line 532:
|83\53, 3434.483
|83\53, 3434.483
|49\31, 3458.824
|49\31, 3458.824
|64\40, 3490.{{Overline|90}}
|64\40, 3490.909
|-
|-
|ま (きb)
|ま (きb)
|Уь
|73\48, 3369.231
|73\48, 3369.231
|87\57, 3367.742
|87\57, 3367.742
Line 609: Line 540:
|79\53, 3268.966
|79\53, 3268.966
|46\31, 3247.059
|46\31, 3247.059
|59\40, 3218.{{Overline|18}}
|59\40, 3218.182
|-
|-
|き
|き
|У
|74\48, 3415.385
|74\48, 3415.385
|54\35, 3410.526
|54\35, 3410.526
Line 619: Line 549:
|82\53, 3393.103
|82\53, 3393.103
|48\31, 3388.235
|48\31, 3388.235
|62\40, 3381.{{Overline|81}}
|62\40, 3381.818
|-
|-
|き#
|き#
|У#
|75\48, 3461.538
|75\48, 3461.538
|55\35, 3473.684
|55\35, 3473.684
Line 629: Line 558:
|85\53, 3517.241
|85\53, 3517.241
|50\31, 3529.421
|50\31, 3529.421
|65\40, 3545.{{Overline|45}}
|65\40, 3545.455
|-
|-
|せ (しb)
|せ (しb)
|Фь
|77\48, 3553.846
|77\48, 3553.846
|56\35, 3536.842
|56\35, 3536.842
Line 638: Line 566:
|84\53, 3475.862
|84\53, 3475.862
|49\31, 3458.824
|49\31, 3458.824
|63\40, 3436.{{Overline|36}}
| 63\40, 3436.364
|-
|-
|し
| し
|Ф
|78\48, 3600
|78\48, 3600
|57\35, 3600
|57\35, 3600
|93\57, 3600
|93\57, 3600
|36\22, 3600
| 36\22, 3600
|87\53, 3600
|87\53, 3600
|51\31, 3600
|51\31, 3600
Line 651: Line 578:
|-
|-
|し#
|し#
|Ф#
|79\48, 3646.154
|79\48, 3646.154
|58\35, 3663.158
|58\35, 3663.158
|95\57, 3677.419
|95\57, 3677.419
| rowspan="2" |37\22, 3700
| rowspan="2" | 37\22, 3700
|90\53, 3724.138
|90\53, 3724.138
|53\31, 3741.176
| 53\31, 3741.176
|69\40, 3763.{{Overline|63}}
| 69\40, 3763.636
|-
|-
|て (ちb)
|て (ちb)
|Хь
|81\48, 3738.462
|81\48, 3738.462
|59\35, 3726.316
|59\35, 3726.316
Line 667: Line 592:
|89\53, 3682.759
|89\53, 3682.759
|52\31, 3670.588
|52\31, 3670.588
|67\40, 3654.{{Overline|54}}
|67\40, 3654.545
|-
|-
|ち
|ち
|Х
|82\48, 3784.615
|82\48, 3784.615
|60\35, 3789.474
|60\35, 3789.474
|98\57, 3793.458
|98\57, 3793.458
|38\22, 3800
|38\22, 3800
|92\53, 3806.897
| 92\53, 3806.897
|54\31, 3811.765
| 54\31, 3811.765
|70\40, 3818.{{Overline|18}}
|70\40, 3818.182
|-
|-
|ち#
|ち#
|Х#
|83\48, 3830.077
|83\48, 3830.077
| rowspan="2" |61\35, 3852.632
| rowspan="2" |61\35, 3852.632
Line 687: Line 610:
|95\53, 3931.034
|95\53, 3931.034
|56\31, 3952.941
|56\31, 3952.941
|73\40, 3981.{{Overline|81}}
|73\40, 3981.818
|-
|-
|ね (にb)
|ね (にb)
|Ць
|84\48, 3876.923
|84\48, 3876.923
|99\57, 3832.258
|99\57, 3832.258
Line 696: Line 618:
|91\53, 3765.517
|91\53, 3765.517
|53\31, 3741.176
|53\31, 3741.176
|68\40, 3709.{{Overline|09}}
| 68\40, 3709.091
|-
|-
|'''に'''
|'''に'''
|'''Ц'''
|'''85\48, 3923.077'''
|'''85\48, 3923.077'''
|'''62\35, 3915.789'''
|'''62\35, 3915.789'''
Line 706: Line 627:
|'''94\53, 3889.655'''
|'''94\53, 3889.655'''
|'''55\31, 3882.353'''
|'''55\31, 3882.353'''
|'''71\40, 3872.{{Overline|72}}'''
|'''71\40, 3872.727'''
|-
|-
|に#
|に#
|Ц#
|86\48, 3969.231
|86\48, 3969.231
|63\35, 3978.947
|63\35, 3978.947
|103\57, 3987.097
|103\57, 3987.097
| rowspan="2" |40\22, 4000
| rowspan="2" |40\22, 4000
|97\53, 4013.793
| 97\53, 4013.793
|57\31, 4023.529
| 57\31, 4023.529
|74\40, 4036.{{Overline|36}}
| 74\40, 4036.364
|-
|-
|へ (ひb)
|へ (ひb)
|Чь
|88\48, 4061.538
|88\48, 4061.538
|64\35, 4042.105
|64\35, 4042.105
Line 725: Line 644:
|96\53, 3972.414
|96\53, 3972.414
|56\31, 3952.941
|56\31, 3952.941
|69\40, 3763.{{Overline|63}}
|69\40, 3763.636
|-
|-
|ひ
|ひ
|Ч
|89\48, 4107.692
|89\48, 4107.692
|65\35, 4105.263
|65\35, 4105.263
Line 735: Line 653:
|99\53, 4096.552
|99\53, 4096.552
|58\31, 4094.118
|58\31, 4094.118
|75\40, 4090.{{Overline|90}}
|75\40, 4090.909
|-
|-
|ひ#
|ひ#
|Ч#
|90\48, 4153.846
|90\48, 4153.846
|66\35, 4168.421
|66\35, 4168.421
Line 745: Line 662:
|102\53, 4220.690
|102\53, 4220.690
|60\31, 4235.294
|60\31, 4235.294
|78\40, 4254.{{Overline|54}}
|78\40, 4254.545
|-
|-
|め (みb)
|め (みb)
|Шь
|92\48, 4246.154
|92\48, 4246.154
|67\35, 4231.579
|67\35, 4231.579
Line 754: Line 670:
|101\53, 4179.310
|101\53, 4179.310
|59\31, 4164.706
|59\31, 4164.706
|76\40, 4145.{{Overline|45}}
|76\40, 4145.455
|-
|-
|み
|み
|Ш
| 93\48, 4292.308
|93\48, 4292.308
|68\35, 4294.737
|68\35, 4294.737
|111\57, 4296.774
|111\57, 4296.774
|43\22, 4300
|43\22, 4300
|104\53, 4303.448
| 104\53, 4303.448
|61\31, 4305.882
|61\31, 4305.882
|79\40, 4309.{{Overline|09}}
|79\40, 4309.091
|-
|-
|み#
|み#
|Ш#
|94\48, 4338.462
|94\48, 4338.462
| rowspan="2" |69\35, 4357.895
| rowspan="2" |69\35, 4357.895
Line 774: Line 688:
|107\53, 4427.586
|107\53, 4427.586
|63\31, 4447.059
|63\31, 4447.059
|82\40, 4472.{{Overline|72}}
|82\40, 4472.727
|-
|-
|こ (くb)
|こ (くb)
|Аь
|95\48, 4384.615
|95\48, 4384.615
|112\57, 4335.484
|112\57, 4335.484
Line 786: Line 699:
|-
|-
!く
!く
!А
!96\48, 4430.769
!96\48, 4430.769
!70\35, 4421.053
!70\35, 4421.053
Line 793: Line 705:
!106\53, 4386.207
!106\53, 4386.207
!62\31, 4376.471
!62\31, 4376.471
!80\40, 4363.{{Overline|63}}
!80\40, 4363.636
|}
|}
==Intervals==
 
{| class="wikitable"
{| class="wikitable"
|+
|+Cents
!Generators
!Notation
!Fourteenth notation
!Supersoft
!Interval category name
!Soft
!Generators
!Semisoft
!Notation of 7/2ish inverse
!Basic
!Interval category name
!Semihard
!Hard
!Superhard
|-
|-
| colspan="6" |The 13-note MOS has the following intervals (from some root):
|А#
| 1\48, 46.154
|1\35, 63.158
|2\57, 77.419
| rowspan="2" | 1\22, 100
|3\53, 124.138
|2\31, 141.176
|3\40, 163.636
|-
|-
|0
|Бь
|く
|3\48, 138.462
|perfect unison
|2\35, 126.316
|0
|3\57, 116.129
|く
|2\53, 82.759
|“perfect” minor fourteenth
|1\31, 70.588
|1\40, 54.545
|-
|-
|1
|Б
|に
| 4\48, 184.615
|natural eleventh
|3\35, 189.454
| -1
|5\57, 193.548
|ぬ
|2\22, 200
|natural fourth
|5\53, 206.897
| 3\31, 211.765
|4\40, 218.182
|-
|-
|2
|Б#
|き
|5\48, 230.769
|perfect octave
|4\35, 252.632
| -2
|7\57, 270.968
|け (ゆb)
| rowspan="2" |3\22, 300
|minor seventh
|8\53, 331.034
|5\31, 352.941
|7\40, 381.818
|-
|-
|3
|Вь
|ふ
|7\48, 323.077
|natural fifth
|5\35, 315.789
| -3
|8\57, 309.677
|て (ちb)
|7\53, 289.655
|minor tenth
|4\31, 282.353
| 5\40, 272.727
|-
|-
|4
|В
|す
|8\48, 369.231
|major second
|6\35, 378.947
| -4
|10\57, 387.097
|め (みb)
|4\22, 400
|minor thirteenth
|10\53, 413.739
| 6\31, 423.529
|8\40, 436.364
|-
|-
|5
|В#
|ひ
|9\48, 415.385
|natural twelfth (tritave)
| rowspan="2" |7\35, 442.105
| -5
|12\57, 464.516
|と (つb)
|5\22, 500
|minor third
|13\53, 537.069
|8\31, 564.706
|11\40, 600
|-
|-
|6
|Гь
|し
|10\48. 461.538
|major ninth
|11\57, 425.806
| -6
| 4\22, 400
|も (むb)
|9\53, 372.414
|minor sixth
|5\31, 352.941
|6\40, 327.273
|-
|-
|7
|Г
|む
|'''11\48,''' '''507.692'''
|major sixth
|'''8\35,''' '''505.263'''
| -7
|'''13\57,''' '''503.226'''
|せ (しb)
|'''5\22,''' '''500'''
|minor ninth
|'''12\53,''' '''496.552'''
|'''7\31,''' '''494.118'''
|'''9\40,''' '''490.909'''
|-
|-
|8
| Г#
|つ
|12\48, 553.846
|major third
|9\35, 568.421
| -8
|15\57, 580.645
|へ (ひb)
| rowspan="2" |6\22, 600
|diminished twelfth
|15\53, 620.690
|9\31, 635.294
|12\40, 654.545
|-
|-
|9
|Дь
|み
|14\48, 646.154
|major thirteenth
|10\35, 631.579
| -9
|16\57, 619.355
|そ (すb)
|14\53, 579.310
|minor second
|8\31, 564.706
|10\40, 545.455
|-
|-
|10
|Д
|ち
|15\48, 692.308
|major tenth
|11\35, 694.737
| -10
|18\57, 696.774
|ほ (ふb)
|7\22, 700
|diminished fifth
|17\53, 703.448
|10\31, 705.882
|13\40, 709.091
|-
|-
|11
|Д#
|ゆ
|16\48, 738.462
|major seventh
|12\35, 757.895
| -11
|20\57, 774.194
|ま (きb)
| rowspan="2" |8\22, 800
|diminished octave
| 20\53, 827.586
|12\31, 847.059
|16\40, 872.727
|-
|-
|12
|Еь
|な (ぬ#)
|18\48, 830.769
|augmented fourth
|13\35, 821.053
| -12
|21\57, 812.903
|ね (にb)
|19\53, 786.261
|diminished eleventh
| 11\31, 776.471
|14\40, 763.636
|-
|-
| colspan="6" |The chromatic 22-note MOS (either [[13L 9s (minor fourteenth equivalent)|13L 9s]], [[9L 13s (minor fourteenth equivalent)|9L 13s]] or [[22edXIV]]) also has these intervals
|Е
|19\48, 876.923
|14\35, 884.211
|23\57, 890.323
|9\22, 900
|22\53, 910.345
|13\31, 917.647
|17\40, 927.273
|-
|-
|13
|Е#
|か (く#)
|20\48, 923.077
|augmented unison
|15\35, 947.638
| -13
|25\57, 967.742
|こ (くb)
| rowspan="2" |10\22, 1000
|diminished fourteenth
|25\53, 1034.483
|15\31, 1058.824
|20\40, 1090.909
|-
|-
|14
|Ёь
|に#
|22\48, 1015.385
|augmented eleventh
|16\35, 1010.526
| -14
|26\57, 1006.452
|の (ぬb)
|24\53, 993.103
|diminished fourth
|14\31, 988.235
|18\40, 981.818
|-
|-
|15
| Ё
|き#
|23\48, 1061.538
|augmented octave
|17\35, 1073.684
| -15
|28\57, 1083.871
|けb (ゆbb)
|11\22, 1100
|diminished seventh
|27\53, 1117.241
| 16\31, 1129.412
|21\40, 1145.45
|-
|-
|16
|Ё#
|は (ふ#)
|24\48, 1107.692
|augmented fifth
| rowspan="2" |18\35, 1136.842
| -16
|30\57, 1161.290
|てb (ちbb)
|12\22, 1200
|diminished tenth
|30\29, 1241.176
|15\31, 1058.824
|24\40, 1309.091
|-
|-
|17
|Жь
|さ (す#)
|25\48, 1153.846
|augmented second
|29\57, 1122.581
| -17
| 11\22, 1100
|めb (みbb)
|26\53, 1075.862
|diminished thirteenth
|18\31, 1270.588
|19\40, 1036.364
|-
|-
|18
|Ж
|に#
|26\48, 1200
|augmented twelfth
|19\35, 1200
| -18
|31\57, 1200
|とb (つbb)
|12\22, 1200
|diminished third
|29\53, 1200
| 17\31, 1200
|22\40, 1200
|-
|-
|19
|Ж#
|し#
|27\48, 1246.154
|augmented ninth
| 20\35, 1263.158
| -19
|33\57, 1277.419
|もb (むbb)
| rowspan="2" |13\22, 1300
|diminished sixth
|32\53, 1324.138
|18\31, 1270.588
|25\40, 1363.636
|-
|-
|20
|Зь
|よ (む#)
|29\48, 1338.462
|augmented sixth
|21\35, 1326.316
| -20
|34\57, 1316.129
|せb (しbb)
|31\53, 1282.759
|diminished ninth
|19\31, 1341.176
|23\40, 1254.545
|-
|З
|30\48, 1384.615
|22\35, 1389.474
|36\57, 1393.548
| 14\22, 1400
|34\53, 1406.897
|20\31, 1411.765
|26\40, 1418.182
|-
|-
|21
|З#
|た (つ#)
|31\48, 1430.769
|augmented third
|23\35, 1452.632
| -21
|38\57, 1470.968
|へb (ひbb)
| rowspan="2" |15\22, 1500
|doubly diminished twelfth
|37\53, 1531.034
|}
|22\31, 1552.941
 
|29\40, 1581.818
==Genchain==
The generator chain for this scale is as follows:
{| class="wikitable"
|+
|
|
|
|
|
|
|へb (ひbb)
|せb (しbb)
|もb (むbb)
|とb (つbb)
|めb (みbb)
|てb (ちbb)
|けb (ゆbb)
|→
|-
|-
|
|Иь
|
| 33\48, 1523.077
|
|24\35, 1515.789
|
|39\57, 1509.677
|
|36\53, 1489.655
|
|21\31, 1482.353
|dd12
|27\40, 1472.727
|d9
|d6
|d3
|d13
|d10
|d7
|
|-
|-
|の (ぬb)
|И
|こ (くb)
|34\48, 1569.231
|ね (にb)
|25\35, 1578.947
|ま (きb)
|41\57, 1587.097
|ほ (ふb)
|16\22, 1600
|そ (すb)
|39\53, 1613.793
|へ (ひb)
| 23\31, 1623.529
|せ (しb)
|30\40, 1636.364
|も (むb)
|と (つb)
|め (みb)
|て (ちb)
|け (ゆb)
|→
|-
|-
|d4
|И#
|d14
|35\48, 1615.385
|d11
| rowspan="2" |26\35, 1642.105
|d8
|43\57, 1664.516
|d5
|17\22, 1700
|m2
|42\53, 1737.069
|d12
|25\31, 1764.706
|m9
|33\40, 1800
|m6
|m3
|m13
|m10
|m7
|
|-
|-
|ぬ
|Йь
|く
|36\48, 1661.538
|に
|42\57, 1625.806
|き
|16\22, 1600
|ふ
|38\53, 1572.414
|す
|22\31, 1552.941
|ひ
|28\40, 1527.273
|し
|む
|つ
|み
|ち
|ゆ
|→
|-
|-
|N4
|Й
|P1
|'''37\48,''' '''1707.692'''
|N11
|'''27\35,''' '''1705.263'''
|P8
|'''44\57,''' '''1703.226'''
|N5
|'''17\22, 1700'''
|M2
|'''41\53,''' '''1696.552'''
|N12
|'''24\31,''' '''1694.118'''
|M9
|'''31\40,''' '''1690.909'''
|M6
|M3
|M13
|M10
|M7
|
|-
|-
|な (ぬ#)
|Й#
|か (く#)
|38\48, 1753.846
|に#
|28\35, 1768.421
|き#
|46\57, 1780.645
|は (ふ#)
| rowspan="2" |18\22, 1800
|さ (す#)
|44\53, 1820.690
|に#
|26\31, 1835.294
|し#
|34\40, 1854.545
|よ (む#)
|-
|た (つ#)
|Кь
|
|40\48, 1846.158
|
|29\35, 1831.579
|
|47\57, 1819.355
|
|43\53, 1779.310
|25\31, 1764.706
|32\40, 1745.455
|-
|-
|A4
|К
|A1
|41\48, 1892.308
|A11
|30\35, 1894.737
|A8
|49\57, 1896.774
|A5
|19\22, 1900
|A2
|46\53, 1903.448
|A12
|27\31, 1905.882
|A9
|35\40, 1909.091
|A6
|A3
|
|
|
|
|}
 
==Modes==
The mode names are based on the diatonic scale:
{| class="wikitable"
|+
!Mode
!Scale
![[Modal UDP Notation|UDP]]
! colspan="12" |Interval type
|-
|-
!name
|К#
!pattern
|42\48, 1938.462
!notation
| 31\35, 1957.895
!2nd
|51\57, 1974.194
!3rd
| rowspan="2" |20\22, 2000
!4th
|49\53, 2027.586
!5th
|29\31, 2047.059
!6th
| 38\40, 2072.727
!7th
!8th
!9th
!10th
!11th
!12th
!13th
|-
|-
|Lydian ♮11 b14
|Ль
|LLLsLLsLLsLLs
|44\48, 2030.769
|<nowiki>12|0</nowiki>
|32\35, 2021.053
|M
|52\57, 2012.903
|M
|48\53, 1986.207
|A
|28\31, 1976.471
|P
|36\40, 1963.636
|M
|M
|P
|M
|M
|P
|P
|M
|-
|-
|Major b14
|Л
|LLsLLLsLLsLLs
|45\48, 2076.923
|<nowiki>11|1</nowiki>
|33\35, 2084.211
|M
|54\57, 2090.323
|M
|21\22, 2100
|P
|51\53, 2110.345
|P
|30\31, 2117.647
|M
|39\40, 2127.273
|M
|P
|M
|M
|P
|P
|M
|-
|-
|Mixolydian
|Л#
|LLsLLsLLLsLLs
|46\48, 2123.077
|<nowiki>10|2</nowiki>
| rowspan="2" |34\35, 2147.368
|M
|56\57, 2167.742
|M
|22\22, 2200
|P
|54\53, 2234.483
|P
|32\31, 2258.824
|M
|42\40, 2290.909
|m
|P
|M
|M
|P
|P
|M
|-
|-
|Mixolydian b10 (Persian)
| Мь
|LLsLLsLLsLLLs
|47\48, 2169.231
|<nowiki>9|3</nowiki>
|55\57, 2129.032
|M
|21\22, 2100
|M
|50\53, 2068.966
|P
|29\31, 2047.059
|P
|37\40, 2018.182
|M
|m
|P
|M
|m
|P
|P
|M
|-
|-
|Hindu ♮6
!М
|LLsLLsLLsLLsL
!48\48, 2215.385
|<nowiki>8|4</nowiki>
!35\35, 2210.526
|M
!57\57, 2206.452
|M
!'''22\22, 2200'''
|P
!53\53, 2193.103
|P
!31\31, 2188.235
|M
!40\40, 2181.818
|m
|P
|M
|m
|P
|P
|m
|-
|-
|Dorian b13
|М#
|LsLLLsLLsLLsL
|49\48, 2261.538
|<nowiki>7|5</nowiki>
|36\35, 2273.684
|M
|59\57, 2283.871
|m
| rowspan="2" |23\22, 2300
|P
|56\53, 2317.241
|P
|33\31, 2329.418
|M
|43\40, 2345.455
|m
|P
|M
|m
|P
|P
|m
|-
|-
|Minor
|Нь
|LsLLsLLLsLLsL
|51\48, 2353.846
|<nowiki>6|6</nowiki>
|37\35, 2336.842
|M
|60\57, 2322.581
|m
|55\53, 2275.862
|P
|32\31, 2258.854
|P
|41\40, 2236.363
|m
|-
|m
|Н
|P
|52\48, 2400
|M
|38\35, 2400
|m
|62\57, 2400
|P
|24\22, 2400
|P
|58\53, 2400
|m
|34\31, 2400
|44\40, 2400
|-
|-
|Phrygian ♮2
| Н#
|LsLLsLLsLLLsL
|53\48, 2446.154
|<nowiki>5|7</nowiki>
|39\35, 2463.158
|M
|64\57, 2477.419
|m
| rowspan="2" |25\22, 2500
|P
|61\53, 2524.138
|P
|36\31, 2541.176
|m
|47\40, 2563.636
|m
|P
|m
|m
|P
|P
|m
|-
|-
|Locrian ♮2 ♮5
|Оь
|LsLLsLLsLLsLL
|55\48, 2538.462
|<nowiki>4|8</nowiki>
|40\35, 2526.316
|M
|65\57, 2516.129
|m
|60\53, 2482.759
|P
|35\31, 2570.588
|P
|45\40, 2454.545
|m
|m
|P
|m
|m
|P
|P
|m
|-
|-
|Locrian ♮5
|О
|sLLLsLLsLLsLL
|56\48, 2584.615
|<nowiki>3|9</nowiki>
|41\35, 2589.474
|m
|67\57, 2593.548
|m
|26\22, 2600
|P
|63\53, 2606.897
|P
|37\31, 2611.765
|m
|48\40, 2618.182
|m
|P
|m
|m
|P
|d
|m
|-
|-
|Locrian
|О#
|sLLsLLLsLLsLL
|57\48, 2630.792
|<nowiki>2|10</nowiki>
| rowspan="2" |42\35, 2652.632
|m
|69\57, 2670.968
|m
|27\22, 2700
|P
| 66\53, 2731.034
|d
|39\31, 2752.941
|m
|51\40, 2781.818
|m
|P
|m
|m
|P
|d
|m
|-
|-
|Locrian b8
|Пь
|sLLsLLsLLLsLL
|58\48, 2676.923
|<nowiki>1|11</nowiki>
|68\57, 2632.258
|m
|26\22, 2600
|m
|62\53, 2565.517
|P
|36\31, 2541.176
|d
|46\40, 2509.091
|m
|-
|m
|'''П'''
|d
|'''59\48, 2723.077'''
|m
|'''43\35, 2715.789'''
|m
|'''70\57, 2709.677'''
|P
|'''27\22, 2700'''
|d
|'''65\53, 2689.655'''
|m
|'''38\31, 2682.353'''
|'''49\40, 2672.72'''
|-
|-
|Locrian b8 b11
|П#
|sLLsLLsLLsLLL
|60\48, 2769.321
|<nowiki>0|12</nowiki>
|44\35, 2778.947
|m
|72\57, 2787.097
|m
| rowspan="2" |28\22, 2800
|P
|68\53, 2813.739
|d
|40\31, 2823.529
|m
|52\40, 2836.363
|m
|d
|m
|m
|d
|d
|m
|}
Natural Dorian and Phrygian modes are shōsūshī MODMOS by one alteration, as are the close approximation to Lydian and the dominant version of Mixolydian and the analog to Harmonic Minor only has two step sizes:
{| class="wikitable"
|+
!Mode
!Scale
![[Modal UDP Notation|UDP]]
! colspan="12" |Interval type
|-
|-
!name
|Рь
!pattern
|62\48, 2861.538
!notation
|45\35, 2842.105
!2nd
|73\57, 2825.806
!3rd
|67\53, 2772.414
!4th
|39\31, 2752.941
!5th
|51\40, 2781.818
!6th
!7th
!8th
!9th
!10th
!11th
!12th
!13th
|-
|-
|Dorian
|Р
|LsLLLsLLsLLLs
|63\48, 2907.692
|<nowiki>7|5 #13</nowiki>
|46\35, 2905.263
|M
|75\57, 2903.226
|m
|29\22, 2900
|P
|70\53, 2896.552
|P
|41\31, 2894.118
|M
|53\40, 2890.909
|m
|P
|M
|m
|P
|P
|M
|-
|-
|Mixolydian Dominant
| Р#
|LLsLLsLLLsLsL
|64\48, 2953.846
|<nowiki>6|6 #3 #10</nowiki>
|47\35, 2968.421
|M
|77\57, 2980.645
|M
| rowspan="2" |30\22, 3000
|P
|73\53, 3020.690
|P
|43\31, 3035.294
|m
|56\40, 3054.545
|m
|P
|M
|M
|P
|P
|m
|-
|-
|Persian ♮7
|Сь
|LLsLLLsLsLLLs
|66\48, 3046.154
|<nowiki>5|7 #3 #6 #7</nowiki>
|48\35, 3031.579
|M
|78\57, 3019.355
|M
|72\53, 2979.310
|P
|42\31, 2964.706
|P
| 54\40, 2945.455
|M
|M
|P
|M
|m
|P
|P
|M
|-
|-
|Lydian Dominant ♮11
|С
|LLLsLsLLLsLLs
|67\48, 3092.308
|<nowiki>4|8 #3 #4 #5 #9 #10 #12 #13</nowiki>
|49\35, 3094.737
|M
|80\57, 3096.774
|M
|31\22, 3100
|A
|75\53, 3103.448
|P
|44\31, 3105.882
|M
| 57\40, 3109.090
|M
|P
|M
|M
|P
|P
|M
|-
|-
|Locrian b4 b8 b11
|С#
|sLsLLLsLLsLLL
|68\48, 3138.462
|<nowiki>3|9 b4 b5 b8 b11</nowiki>
|50\35, 3157.895
|m
|82\57, 3174.194
|m
| rowspan="2" |32\22, 3200
|d
| 78\53, 3227.586
|d
|46\31, 3247.059
|m
|60\40, 3272.727
|m
|d
|m
|m
|d
|d
|m
|-
|-
|Lydian b14
|Ть
|LLLsLLsLLLsLs
|70\48, 3230.769
|<nowiki>2|10 #5 #6 #7 #9 #10 #12 #13</nowiki>
|51\35, 3221.053
|M
| 83\57, 3212.903
|M
|77\53, 3186.207
|P
|45\31, 3176.471
|P
|58\40, 3163.636
|M
|M
|P
|M
|M
|A
|P
|M
|-
|-
|Locrian b11
|Т
|sLLsLLLsLsLLL
|71\48, 3276.923
|<nowiki>1|11 #8 b11</nowiki>
|52\35, 3284.211
|m
| 85\57, 3290.323
|m
|33\22, 3300
|P
|80\53, 3310.345
|d
|47\31, 3317.647
|m
|61\40, 3327.273
|m
|-
|P
|Т#
|m
|72\48, 3323.077
|m
| rowspan="2" |53\35, 3347.368
|d
|86\57, 3329.032
|d
|34\22, 3400
|m
|83\53, 3434.483
|49\31, 3458.824
|64\40, 3490.909
|-
|-
|Phrygian b8
|Уь
|sLLLsLsLLLsLL
|73\48, 3369.231
|<nowiki>0|12 #5 #11 #12</nowiki>
|87\57, 3367.742
|m
|33\22, 3300
|m
|79\53, 3268.966
|P
| 46\31, 3247.059
|P
|59\40, 3218.182
|m
|m
|d
|m
|m
|P
|P
|m
|-
|-
|Locrian ♮2
|У
|LsLsLLLsLLsLL
|74\48, 3415.385
|<nowiki>12|0 b3 b5 b6 b7 b9 b10 b12 b13</nowiki>
|54\35, 3410.526
|M
|88\57, 3406.452
|m
|34\22, 3400
|P
|82\53, 3393.103
|d
|48\31, 3388.235
|m
|62\40, 3381.818
|m
|P
|m
|m
|P
|P
|M
|-
|-
|Phrygian
|У#
|sLLLsLLsLLLsL
|75\48, 3461.538
|<nowiki>11|1 b2 b3 b6 b7</nowiki>
|55\35, 3473.684
|m
|90\57, 3483.871
|m
| rowspan="2" |35\22, 3500
|P
|85\53, 3517.241
|P
|50\31, 3529.421
|m
|65\40, 3545.455
|m
|P
|m
|m
|P
|P
|m
|-
|-
|Minor b12
|Фь
|LsLLsLLLsLsLL
| 77\48, 3553.846
|<nowiki>10|2 b3 b6 b10 b12 b13</nowiki>
|56\35, 3536.842
|M
| 92\57, 3522.581
|m
|84\53, 3475.862
|P
|49\31, 3458.824
|P
|63\40, 3436.364
|m
|m
|P
|M
|m
|P
|d
|m
|-
|-
|Phrygian ♮2 ♮6
|Ф
|LsLLLsLsLLLsL
|78\48, 3600
|<nowiki>9|3 b3 b9 b13</nowiki>
|57\35, 3600
|M
|93\57, 3600
|m
|36\22, 3600
|P
|87\53, 3600
|P
| 51\31, 3600
|M
|66\40, 3600
|m
|P
|m
|m
|P
|P
|m
|-
|-
|Hindu
|Ф#
|LLsLsLLLsLLsL
|79\48, 3646.154
|<nowiki>8|4 b6</nowiki>
|58\35, 3663.158
|M
|95\57, 3677.419
|M
| rowspan="2" |37\22, 3700
|P
|90\53, 3724.138
|P
|53\31, 3741.176
|m
|69\40, 3763.636
|m
|P
|M
|m
|P
|P
|m
|}
{| class="wikitable"
!Mode
!Scale
![[Modal UDP Notation|UDP]]
! colspan="12" |Interval type
|-
|-
!name
|Хь
!pattern
|81\48, 3738.462
!notation
|59\35, 3726.316
!2nd
|96\57, 3716.129
!3rd
|89\53, 3682.759
!4th
|52\31, 3670.588
!5th
|67\40, 3654.545
!6th
|-
!7th
|Х
!8th
|82\48, 3784.615
!9th
|60\35, 3789.474
!10th
|98\57, 3793.458
!11th
|38\22, 3800
!12th
|92\53, 3806.897
!13th
|54\31, 3811.765
|70\40, 3818.182
|-
|-
|Harmonic Minor
| Х#
|LsLLsLLLsLLLs
|83\48, 3830.077
|<nowiki>6|6 #13</nowiki>
| rowspan="2" |61\35, 3852.632
|M
|100\57, 3870.968
|m
|39\22, 3900
|P
|95\53, 3931.034
|P
| 56\31, 3952.941
|m
|73\40, 3981.818
|m
|P
|M
|m
|P
|P
|M
|-
|-
|Dorian ♮10 b13
|Ць
|LsLLLsLLLsLsL
|84\48, 3876.923
|<nowiki>5|7 #6 #10</nowiki>
|99\57, 3832.258
|M
|38\22, 3800
|m
|91\53, 3765.517
|P
|53\31, 3741.176
|P
|68\40, 3709.091
|M
|m
|P
|M
|M
|P
|P
|M
|-
|-
|Ionian Dominant
|'''Ц'''
|LLsLLLsLLsLsL
|'''85\48, 3923.077'''
|<nowiki>4|8 #3 #4 #5 #6 #7 #9 #10 #12</nowiki>
|'''62\35, 3915.789'''
|M
|'''101\57, 3909.677'''
|M
|'''39\22, 3900'''
|P
|'''94\53, 3889.655'''
|P
|'''55\31, 3882.353'''
|M
|'''71\40, 3872.727'''
|M
|P
|M
|M
|P
|P
|m
|-
|-
|Lydian b10 ♮11 b14
|Ц#
|LLLsLLsLsLLLs
|86\48, 3969.231
|<nowiki>3|9 #2 #3 #4 #6 #7 #9 #10 #11 #12 #13</nowiki>
|63\35, 3978.947
|M
|103\57, 3987.097
|M
| rowspan="2" |40\22, 4000
|A
|97\53, 4013.793
|P
|57\31, 4023.529
|M
|74\40, 4036.364
|M
|P
|M
|m
|P
|P
|M
|-
|-
|Locrian bb7 b8
|Чь
|sLLsLsLLLsLLL
|88\48, 4061.538
|<nowiki>2|10 bb7 b8</nowiki>
|64\35, 4042.105
|m
|104\57, 4025.846
|m
|96\53, 3972.414
|P
|56\31, 3952.941
|d
|69\40, 3763.636
|m
|d
|d
|m
|m
|P
|d
|m
|-
|-
|Locrian b4 b8 b11
|Ч
|sLsLLLsLLLsLL
|89\48, 4107.692
|<nowiki>1|11 b4 b11</nowiki>
|65\35, 4105.263
|m
|106\57, 4103.226
|m
|41\22, 4100
|d
|99\53, 4096.552
|d
|58\31, 4094.118
|m
|75\40, 4090.909
|m
|d
|m
|m
|d
|d
|m
|-
|-
|Lydian #8 b14
|Ч#
|LLLsLLLsLLsLs
|90\48, 4153.846
|<nowiki>0|12 #2 #3 #4 #5 #6 #7 x8 #9 #10 x11 #12 #13</nowiki>
|66\35, 4168.421
|M
| 108\57, 4180.645
|M
| rowspan="2" |42\22, 4200
|P
|102\53, 4220.690
|P
|60\31, 4235.294
|M
|78\40, 4254.545
|M
|A
|M
|M
|A
|P
|M
|-
|-
|Locrian ♮5 b11
|Шь
|sLLLsLLsLsLLL
|92\48, 4246.154
|<nowiki>12|0 b2 b3 b6 b7 b9 b10 b11 b12 b13</nowiki>
|67\35, 4231.579
|m
|110\57, 4219.355
|m
|101\53, 4179.310
|P
|59\31, 4164.706
|P
|76\40, 4145.455
|m
|m
|P
|m
|m
|d
|d
|m
|-
|-
|Minor b8 b9 b12
|Ш
|LsLLsLsLLLsLL
|93\48, 4292.308
|<nowiki>11|1 b3 b6 b7 b8 b9 b12</nowiki>
|68\35, 4294.737
|M
|111\57, 4296.774
|m
|43\22, 4300
|P
|104\53, 4303.448
|P
|61\31, 4305.882
|m
|79\40, 4309.091
|m
|d
|m
|m
|P
|d
|m
|-
|-
|Minor b5 b9
|Ш#
|LsLsLLLsLLLsL
|94\48, 4338.462
|<nowiki>10|2 b3 b5 b6 b7 b9</nowiki>
| rowspan="2" |69\35, 4357.895
|M
|113\57, 4374.194
|m
|44\22, 4400
|P
|107\53, 4427.586
|d
|63\31, 4447.059
|M
|82\40, 4472.727
|m
|P
|m
|m
|P
|d
|m
|-
|-
|Phrygian ♮9
|Аь
|sLLLsLLLsLLsL
| 95\48, 4384.615
|<nowiki>9|3 b2 b3 b6 b13 </nowiki>
|112\57, 4335.484
|m
|43\22, 4300
|m
|103\53, 4262.931
|P
|60\31, 4235.294
|P
|77\40, 4200
|m
|m
|P
|M
|m
|P
|P
|m
|-
|-
|Dorian b12 b13
!А
|LsLLLsLLsLsLL
!96\48, 4430.769
|<nowiki>8|4 b2 b3 b6 b13</nowiki>
!70\35, 4421.053
|M
!114\57, 4412.903
|m
!44\22, 4400
|P
!106\53, 4386.207
|P
!62\31, 4376.471
|M
!80\40, 4363.636
|m
|}
|P
 
|M
== Intervals==
|m
{| class="wikitable"
|P
|+
|m
!Generators
|m
!Fourteenth notation
!Interval category name
!Generators
!Notation of 7/2ish inverse
!Interval category name
|-
|-
|Persian Dominant b9
| colspan="6" |The 13-note MOS has the following intervals (from some root):
|LLsLLsLsLLLsL
|<nowiki>7|5 #3 b9 b10</nowiki>
|M
|m
|P
|P
|M
|m
|P
|m
|m
|P
|P
|M
|}
{| class="wikitable"
|+
!Mode
!Scale
![[Modal UDP Notation|UDP]]
! colspan="12" |Interval type
|-
|-
!name
|0
!pattern
|く
!notation
|perfect unison
!2nd
|0
!3rd
|く
!4th
|“perfect” minor fourteenth
!5th
!6th
!7th
!8th
!9th
!10th
!11th
!12th
!13th
|-
|-
|Phrygian
|1
|sLLLsLLsLLLsL
|に
|<nowiki>5|7 b2</nowiki>
|natural eleventh
|m
| -1
|m
|ぬ
|P
|natural fourth
|P
|m
|m
|P
|m
|m
|P
|P
|m
|-
|-
|Minor b12
| 2
|LsLLsLLLsLsLL
| き
|<nowiki>4|8 #9 b12</nowiki>
|perfect octave
|M
| -2
|m
|け (ゆb)
|P
|minor seventh
|P
|m
|m
|P
|M
|m
|P
|d
|m
|-
|-
|Phrygian ♮2 ♮6
|3
|LsLLLsLsLLLsL
|ふ
|<nowiki>3|9 #2 #6</nowiki>
|natural fifth
|M
| -3
|m
|て (ちb)
|P
|minor tenth
|P
|M
|m
|P
|m
|m
|P
|P
|m
|-
|-
|Hindu
|4
|LLsLsLLLsLLsL
|す
|<nowiki>2|10 #2 #5 #9 #12</nowiki>
|major second
|M
| -4
|M
|め (みb)
|P
|minor thirteenth
|P
|m
|m
|P
|M
|m
|P
|P
|m
|-
|-
|Dorian
|5
|LsLLLsLLsLLLs
|ひ
|<nowiki>1|11 #2 #5 #8 #9 #12</nowiki>
|natural twelfth (tritave)
|M
| -5
|m
|と (つb)
|P
|minor third
|P
|M
|m
|P
|M
|m
|P
|P
|M
|-
|-
|Mixolydian Dominant
|6
|LLsLLsLLLsLsL
|し
|<nowiki>0|12 #2 #3 #5 #8 #9 #10 #11 #12</nowiki>
|major ninth
|M
| -6
|M
|も (むb)
|P
|minor sixth
|P
|m
|m
|P
|M
|m
|P
|P
|m
|-
|-
|Persian ♮7
|7
|LLsLLLsLsLLLs
|む
|<nowiki>12|0 b4 b10</nowiki>
|major sixth
|M
| -7
|M
| せ (しb)
|P
|minor ninth
|P
|M
|M
|P
|M
|m
|P
|P
|M
|-
|-
|Lydian Dominant ♮11
|8
|LLLsLsLLLsLLs
|つ
|<nowiki>11|1 #4 b7</nowiki>
|major third
|M
| -8
|M
|へ (ひb)
|A
|diminished twelfth
|P
|M
|M
|P
|M
|M
|P
|P
|M
|-
|-
|Locrian b4 b8 b11
|9
|sLsLLLsLLsLLL
|み
|<nowiki>10|2 b2 b3 b4 b5 b6 b8 b9 b10 b11 b12 b13</nowiki>
|major thirteenth
|m
| -9
|m
| そ (すb)
|d
| minor second
|d
|m
|m
|d
|m
|m
|d
|d
|m
|-
|-
|Lydian b14
|10
|LLLsLLsLLLsLs
|ち
|<nowiki>9|3 #4 #7</nowiki>
|major tenth
|M
| -10
|M
|ほ (ふb)
|P
|diminished fifth
|P
|M
|M
|P
|M
|M
|A
|P
|M
|-
|-
|Locrian b11
|11
|sLLsLLLsLsLLL
|ゆ
|<nowiki>8|4 b2 b3 b5 b6 b8 b9 b11 b12 b13</nowiki>
|major seventh
|m
| -11
|m
|ま (きb)
|P
|diminished octave
|d
|m
|m
|P
|m
|m
|d
|d
|m
|-
|-
|Phrygian b8
|12
|sLLLsLsLLLsLL
|な (ぬ#)
|<nowiki>7|5 b2 b5 b6 b8 b9 b11 b12 b13</nowiki>
| augmented fourth
|m
| -12
|m
|ね (にb)
|P
|diminished eleventh
|P
|-
|m
| colspan="6" | The chromatic 22-note MOS (either [[13L 9s (minor fourteenth equivalent)|13L 9s]], [[9L 13s (minor fourteenth equivalent)|9L 13s]] or [[22edXIV]]) also has these intervals
|m
|-
|d
|13
|m
|か (く#)
|m
|augmented unison
|P
| -13
|P
|こ (くb)
|m
|diminished fourteenth
|-
|-
|Minor b5 b9 b12
| 14
|LsLsLLLsLLsLL
|に#
|<nowiki>6|6 b5 b9 b12</nowiki>
|augmented eleventh
|M
| -14
|m
|の (ぬb)
|P
|diminished fourth
|P
|m
|m
|P
|m
|m
|P
|P
|M
|}
{| class="wikitable"
!Mode
!Scale
![[Modal UDP Notation|UDP]]
! colspan="12" |Interval type
|-
|-
!name
|15
!pattern
|き#
!notation
|augmented octave
!2nd
| -15
!3rd
|けb (ゆbb)
!4th
|diminished seventh
!5th
!6th
!7th
!8th
!9th
!10th
!11th
!12th
!13th
|-
|-
|Lydian b14
|16
|LLLsLLsLLLsLs
|は (ふ#)
|<nowiki>12|0 #11</nowiki>
|augmented fifth
|M
| -16
|M
|てb (ちbb)
|P
|diminished tenth
|P
|M
|M
|P
|M
|M
|A
|P
|M
|-
|-
|Locrian b11
|17
|sLLsLLLsLsLLL
|さ (す#)
|<nowiki>11|1 b2 b3 b5 b6 b7 b9 b10 b12 b13</nowiki>
| augmented second
|m
| -17
|m
|めb (みbb)
|P
|diminished thirteenth
|d
|m
|m
|P
|m
|m
|d
|d
|m
|-
|-
|Phrygian b8
|18
|sLLLsLsLLLsLL
|に#
|<nowiki>10|2 b2 b3 b4 b8 b9 b10 b12 b13</nowiki>
|augmented twelfth
|m
| -18
|m
|とb (つbb)
|P
|diminished third
|d
|m
|m
|P
|m
|m
|d
|d
|m
|-
|-
|Minor b5 b9 b12
|19
|LsLsLLLsLLsLL
|し#
|<nowiki>9|3 b3 b5 b6 b9 b12 b13</nowiki>
|augmented ninth
|m
| -19
|m
|もb (むbb)
|P
|diminished sixth
|P
|m
|m
|d
|m
|m
|P
|P
|m
|-
|-
|Phrygian
|20
|sLLLsLLsLLLsL
|よ (む#)
|<nowiki>8|4 b6 b9 </nowiki>
|augmented sixth
|m
| -20
|m
|せb (しbb)
|P
|diminished ninth
|P
|m
|m
|P
|m
|m
|P
|P
|M
|-
|-
|Minor b12
|21
|LsLLsLLLsLsLL
|た (つ#)
|<nowiki>7|5 b6 b12</nowiki>
|augmented third
|m
| -21
|m
|へb (ひbb)
|P
|doubly diminished twelfth
|P
|}
|m
 
|m
==Genchain==
|P
The generator chain for this scale is as follows:
|M
{| class="wikitable"
|m
|+
|P
|
|d
|
|m
|
|
|
|
|へb (ひbb)
|せb (しbb)
|もb (むbb)
|とb (つbb)
|めb (みbb)
|てb (ちbb)
|けb (ゆbb)
|→
|-
|-
|Minor b9
|
|LsLLLsLsLLLsL
|
|<nowiki>6|6 b9</nowiki>
|
|M
|
|m
|
|P
|
|P
|dd12
|m
|d9
|m
|d6
|P
|d3
|m
|d13
|m
|d10
|P
|d7
|P
|
|m
|-
|-
|Hindu
|の (ぬb)
|LLsLsLLLsLLsL
|こ (くb)
|<nowiki>5|7 #3 #9</nowiki>
|ね (にb)
|M
|ま (きb)
|M
|ほ (ふb)
|P
|そ (すb)
|P
|へ (ひb)
|M
|せ (しb)
|m
|も (むb)
|P
|と (つb)
|M
|め (みb)
|m
|て (ちb)
|P
|け (ゆb)
|P
|→
|m
|-
|-
|Dorian
|d4
|LsLLLsLLsLLLs
|d14
|<nowiki>4|8 #6 #9 #10</nowiki>
|d11
|M
|d8
|m
|d5
|P
|m2
|P
|d12
|M
|m9
|m
|m6
|P
|m3
|M
| m13
|m
|m10
|P
|m7
|P
|
|m
|-
|-
|Mixolydian Dominant
|ぬ
|LLsLLsLLLsLsL
|く
|<nowiki>3|9 #2 #3 #6 #9 #10 #12</nowiki>
|に
|M
|き
|m
|ふ
|P
|す
|P
|ひ
|M
|し
|m
|む
|P
|つ
|M
|み
|M
|ち
|P
|ゆ
|P
|→
|M
|-
|-
|Persian ♮7
|N4
|LLsLLLsLsLLLs
|P1
|<nowiki>2|10 #2 #3 #5 #6 #7 #9 #12 #13</nowiki>
|N11
|M
|P8
|M
|N5
|P
|M2
|P
|N12
|M
|M9
|M
|M6
|P
|M3
|M
|M13
|m
|M10
|P
|M7
|P
|
|M
|-
|-
|Lydian Dominant ♮11
|な (ぬ#)
|LLLsLsLLLsLLs
|か (く#)
|<nowiki>1|11 #2 #3 #4 #5 #6 #8 #9 #10 #12</nowiki>
|に#
|M
|き#
|M
|は (ふ#)
|A
|さ (す#)
|P
| に#
|M
|し#
|M
|よ (む#)
|P
|た (つ#)
|M
|
|M
|
|P
|
|P
|
|M
|-
|-
|Locrian b4 b8 b11
|A4
|sLsLLLsLLsLLL
|A1
|<nowiki>0|12 b4</nowiki>
|A11
|m
|A8
|m
|A5
|d
|A2
|d
|A12
|m
|A9
|m
|A6
|d
|A3
|m
|
|m
|
|d
|
|d
|
|m
|}
|}
==Modes==
The mode names are based on the diatonic scale:
{| class="wikitable"
{| class="wikitable"
|+
!Mode
!Mode
!Scale
!Scale
Line 2,267: Line 1,715:
!13th
!13th
|-
|-
|Lydian b14
| Lydian♮11 b14
|LLLsLLsLLLsLs
|LLLsLLsLLsLLs
|<nowiki>12|0 #11</nowiki>
|<nowiki>12|0</nowiki>
|M
|M
|M
|M
|P
|A
|P
|P
|M
|M
Line 2,279: Line 1,727:
|M
|M
|M
|M
|A
|P
|P
|P
|M
|M
|-
|-
|Locrian b11
|Major b14
|sLLsLLLsLsLLL
|LLsLLLsLLsLLs
|<nowiki>11|1 b2 b3 b5 b6 b7 b9 b10 b12 b13</nowiki>
|<nowiki>11|1</nowiki>
|m
|M
|m
|M
|P
|P
|M
|M
|P
|M
| M
|P
|P
|d
|m
|m
|P
|P
|m
|M
|m
|d
|d
|m
|-
|-
|Phrygian b8
|Mixolydian
|sLLLsLsLLLsLL
|LLsLLsLLLsLLs
|<nowiki>10|2 b2 b3 b4 b8 b9 b10 b12 b13</nowiki>
|<nowiki>10|2</nowiki>
|m
|M
|M
|P
|P
|M
|m
|m
|P
|P
|d
|M
|m
|M
|m
|P
|P
|m
|P
|m
|M
|d
|d
|m
|-
|-
|Minor b5 b9 b12
|Mixolydian b10 (Persian)
|LsLsLLLsLLsLL
|LLsLLsLLsLLLs
|<nowiki>9|3 b3 b5 b6 b9 b12 b13</nowiki>
|<nowiki>9|3</nowiki>
|m
|M
|m
|M
|P
|P
|P
|P
|M
|m
|m
|m
|P
|d
|M
|m
|m
|m
|P
|P
|P
|P
|m
|M
|-
|-
|Phrygian
|Hindu♮6
|sLLLsLLsLLLsL
|LLsLLsLLsLLsL
|<nowiki>8|4 b6 b9 </nowiki>
|<nowiki>8|4</nowiki>
|m
|M
|m
|M
|P
|P
|P
|P
|M
|m
|m
|P
|M
|m
|m
|P
|P
|P
|m
|m
|-
|Dorian b13
|LsLLLsLLsLLsL
|<nowiki>7|5</nowiki>
|M
|m
|m
|P
|P
|P
|P
|M
|M
|m
|P
|M
|m
|P
|P
|m
|-
|-
|Minor b12
|Minor
|LsLLsLLLsLsLL
|LsLLsLLLsLLsL
|<nowiki>7|5 b6 b12</nowiki>
|<nowiki>6|6</nowiki>
|m
| M
|m
|m
|P
|P
Line 2,360: Line 1,824:
|m
|m
|P
|P
|d
|P
|m
|m
|-
|-
|Minor b9
|Phrygian ♮2
|LsLLLsLsLLLsL
|LsLLsLLsLLLsL
|<nowiki>6|6 b9</nowiki>
|<nowiki>5|7</nowiki>
|M
|M
|m
|m
Line 2,379: Line 1,843:
|m
|m
|-
|-
|Hindu
|Locrian ♮2 ♮5
|LLsLsLLLsLLsL
|LsLLsLLsLLsLL
|<nowiki>5|7 #3 #9</nowiki>
|<nowiki>4|8</nowiki>
|M
|M
|M
|m
|P
|P
|P
|P
|M
|m
|m
|P
|M
|m
|m
|P
|P
|P
|m
|m
|-
|Dorian
|LsLLLsLLsLLLs
|<nowiki>4|8 #6 #9 #10</nowiki>
|M
|m
|m
|P
|P
|P
|P
|M
|m
|m
|P
|-
|M
|Locrian ♮5
|sLLLsLLsLLsLL
|<nowiki>3|9</nowiki>
|m
|m
|m
|P
|P
|P
|P
|m
|m
|-
|Mixolydian Dominant
|LLsLLsLLLsLsL
|<nowiki>3|9 #2 #3 #6 #9 #10 #12</nowiki>
|M
|m
|m
|P
|P
|m
|m
|P
|P
|M
|d
|m
|m
|P
|M
|M
|P
|P
|M
|-
|-
|Persian ♮7
|Locrian
|LLsLLLsLsLLLs
|sLLsLLLsLLsLL
|<nowiki>2|10 #2 #3 #5 #6 #7 #9 #12 #13</nowiki>
|<nowiki>2|10</nowiki>
|M
|m
|M
|m
|P
|P
|d
|m
|m
|P
|P
|M
|m
|M
|m
|P
|P
|M
|d
|m
|m
|P
|P
|M
|-
|-
|Lydian Dominant ♮11
|Locrian b8
|LLLsLsLLLsLLs
|sLLsLLsLLLsLL
|<nowiki>1|11 #2 #3 #4 #5 #6 #8 #9 #10 #12</nowiki>
|<nowiki>1|11</nowiki>
|M
|m
|M
|m
|A
|P
|P
|M
|d
|M
|m
|m
|d
|m
|m
|P
|P
|M
|d
|M
|m
|P
|P
|M
|-
|-
|Locrian b4 b8 b11
|Locrian b8 b11
|sLsLLLsLLsLLL
|sLLsLLsLLsLLL
|<nowiki>0|12 b4</nowiki>
|<nowiki>0|12</nowiki>
|m
|m
|m
|m
|d
|P
|d
|d
|m
|m
Line 2,472: Line 1,920:
|m
|m
|d
|d
|d
| d
|m
|m
|}
|}
Natural Dorian and Phrygian modes are shōsūshī MODMOS by one alteration, as are the close approximation to Lydian and the dominant version of Mixolydian and the analog to Harmonic Minor only has two step sizes:
{| class="wikitable"
{| class="wikitable"
|+
|+
Line 2,497: Line 1,946:
!12th
!12th
!13th
!13th
|-
| Dorian
|LsLLLsLLsLLLs
|<nowiki>7|5 #13</nowiki>
|M
|m
|P
|P
|M
|m
|P
|M
|m
|P
|P
|M
|-
|-
|Mixolydian Dominant
|Mixolydian Dominant
|LLsLLsLLLsLsL
|LLsLLsLLLsLsL
|<nowiki>10|2 b13</nowiki>
|<nowiki>6|6 #3 #10</nowiki>
|M
|M
|M
|M
Line 2,509: Line 1,974:
|P
|P
|M
|M
|m
|M
|P
|P
|P
|P
Line 2,516: Line 1,981:
|Persian ♮7
|Persian ♮7
|LLsLLLsLsLLLs
|LLsLLLsLsLLLs
|<nowiki>9|3 #7</nowiki>
|<nowiki>5|7 #3 #6 #7</nowiki>
|M
|M
|M
|M
Line 2,530: Line 1,995:
|M
|M
|-
|-
|Major #4 b14
|Lydian Dominant ♮11
|LLLsLsLLLsLLs
|LLLsLsLLLsLLs
|<nowiki>8|4 #3 #4 #7 #10 #13 </nowiki>
|<nowiki>4|8 #3 #4 #5 #9 #10 #12 #13</nowiki>
|M
|M
|M
|M
Line 2,541: Line 2,006:
|P
|P
|M
|M
|m
|M
|P
|P
|P
|P
Line 2,548: Line 2,013:
|Locrian b4 b8 b11
|Locrian b4 b8 b11
|sLsLLLsLLsLLL
|sLsLLLsLLsLLL
|<nowiki>7|5 b2 b4 b5 b6 b8 b9 b10 b11 b12</nowiki>
|<nowiki>3|9 b4 b5 b8 b11</nowiki>
|m
|m
|m
|m
Line 2,564: Line 2,029:
|Lydian b14
|Lydian b14
|LLLsLLsLLLsLs
|LLLsLLsLLLsLs
|<nowiki>6|6 #3 #4 #6 #7 #10 #11 #13</nowiki>
|<nowiki>2|10 #5 #6 #7 #9 #10 #12 #13</nowiki>
|M
|M
|M
|M
|A
|P
|P
|P
|M
|M
Line 2,580: Line 2,045:
|Locrian b11
|Locrian b11
|sLLsLLLsLsLLL
|sLLsLLLsLsLLL
|<nowiki>5|7 b2 b5 b6 b9 b11</nowiki>
|<nowiki>1|11 #8 b11</nowiki>
|m
|m
|m
|m
Line 2,596: Line 2,061:
|Phrygian b8
|Phrygian b8
|sLLLsLsLLLsLL
|sLLLsLsLLLsLL
|<nowiki>4|8 b8 #12</nowiki>
|<nowiki>0|12 #5 #11 #12</nowiki>
|m
|m
|m
|m
Line 2,612: Line 2,077:
|Locrian ♮2
|Locrian ♮2
|LsLsLLLsLLsLL
|LsLsLLLsLLsLL
|<nowiki>3|9 #5 #6 #7 #8 #9 #10 #12</nowiki>
|<nowiki>12|0 b3 b5 b6 b7 b9 b10 b12 b13</nowiki>
|M
|M
|m
|m
|P
|P
|d
|d
|M
|m
|m
|m
|P
|P
|M
|m
|m
|m
|P
|P
|P
|P
|m
|M
|-
|-
|Phrygian
|Phrygian
|sLLLsLLsLLLsL
|sLLLsLLsLLLsL
|<nowiki>2|10 #5 #12</nowiki>
|<nowiki>11|1 b2 b3 b6 b7</nowiki>
|m
|m
|m
|m
Line 2,644: Line 2,109:
|Minor b12
|Minor b12
|LsLLsLLLsLsLL
|LsLLsLLLsLsLL
|<nowiki>1|11 #2 #5 #6 #8 #9 #12</nowiki>
|<nowiki>10|2 b3 b6 b10 b12 b13</nowiki>
|M
|M
|m
|m
Line 2,660: Line 2,125:
|Phrygian ♮2 ♮6
|Phrygian ♮2 ♮6
|LsLLLsLsLLLsL
|LsLLLsLsLLLsL
|<nowiki>0|12 #2 #5 #8 #11 #12</nowiki>
|<nowiki>9|3 b3 b9 b13</nowiki>
|M
|M
|m
|m
Line 2,676: Line 2,141:
|Hindu
|Hindu
|LLsLsLLLsLLsL
|LLsLsLLLsLLsL
|<nowiki>12|0 b3 b4 b7 b10</nowiki>
|<nowiki>8|4 b6</nowiki>
|M
|M
|M
|M
Line 2,689: Line 2,154:
|P
|P
|m
|m
|-
|Dorian
|LsLLLsLLsLLLs
|<nowiki>11|1 b3 b7 b10</nowiki>
|M
|m
|P
|P
|M
|m
|P
|M
|m
|P
|P
|M
|}
|}
=== Cyclic Permutation Order ===
{| class="wikitable"
{| class="wikitable"
|+
!Mode
!Mode
!Scale
!Scale
Line 2,720: Line 2,166:
!2nd
!2nd
!3rd
!3rd
!4th
! 4th
!5th
!5th
!6th
!6th
Line 2,731: Line 2,177:
!13th
!13th
|-
|-
|Mixolydian b10 (Persian)
|Harmonic Minor
|LLsLLsLLsLLLs
|LsLLsLLLsLLLs
|<nowiki>9|3</nowiki>
|<nowiki>6|6 #13</nowiki>
|M
|M
|M
|m
|P
|P
|P
|P
|M
|m
|m
|m
|P
|P
Line 2,747: Line 2,193:
|M
|M
|-
|-
|Phrygian ♮2
|Dorian♮10 b13
|LsLLsLLsLLLsL
|LsLLLsLLLsLsL
|<nowiki>5|7</nowiki>
|<nowiki>5|7 #6 #10</nowiki>
|M
|M
|m
|m
|P
|P
|P
|P
|m
|M
|m
|m
|P
|P
|m
|M
|m
|M
|P
|P
|P
|P
|m
|M
|-
|-
|Locrian b8
|Ionian Dominant
|sLLsLLsLLLsLL
|LLsLLLsLLsLsL
|<nowiki>1|11</nowiki>
|<nowiki>4|8 #3 #4 #5 #6 #7 #9 #10 #12</nowiki>
|m
|M
|m
| M
|P
|P
|d
|m
|m
|d
|m
|m
|P
|P
|d
|m
|-
|Mixolydian
|LLsLLsLLLsLLs
|<nowiki>10|2</nowiki>
|M
|M
|M
|M
|P
|P
|M
|m
|P
|P
|M
|M
Line 2,793: Line 2,223:
|P
|P
|P
|P
|m
|-
|Lydian b10 ♮11 b14
|LLLsLLsLsLLLs
|<nowiki>3|9 #2 #3 #4 #6 #7 #9 #10 #11 #12 #13</nowiki>
|M
|M
|M
|-
|A
|Minor
|P
|LsLLsLLLsLLsL
|M
|<nowiki>6|6</nowiki>
|M
|P
|M
|M
|m
|m
|P
|P
|P
|P
|M
|-
|Locrian bb7 b8
|sLLsLsLLLsLLL
|<nowiki>2|10 bb7 b8</nowiki>
|m
|m
|m
|m
|P
|P
|M
|d
|m
|d
|d
|m
|m
|m
|P
|P
|P
|d
|m
|m
|-
|-
|Locrian
|Locrian b4 b8 b11
|sLLsLLLsLLsLL
|sLsLLLsLLLsLL
|<nowiki>2|10</nowiki>
|<nowiki>1|11 b4 b11</nowiki>
|m
|m
|m
|m
|P
|d
|d
|d
|m
|m
|m
|m
|P
|d
|m
|m
|m
|m
|P
|d
|d
|d
|m
|m
|-
|-
|Major b14
|Lydian #8 b14
|LLsLLLsLLsLLs
|LLLsLLLsLLsLs
|<nowiki>11|1</nowiki>
|<nowiki>0|12 #2 #3 #4 #5 #6 #7 x8 #9 #10 x11 #12 #13</nowiki>
|M
|M
|M
|M
|P
| P
|P
|P
|M
|M
|M
|M
|P
|A
|M
|M
|M
|M
|P
|A
|P
|P
|M
|M
|-
|-
|Dorian b13
| Locrian♮5 b11
|LsLLLsLLsLLsL
|sLLLsLLsLsLLL
|<nowiki>7|5</nowiki>
|<nowiki>12|0 b2 b3 b6 b7 b9 b10 b11 b12 b13</nowiki>
|M
|m
|m
|m
|P
|P
| P
|m
|m
|P
|P
|M
|m
|m
|P
|M
|m
|m
|P
|d
|P
| d
|m
|m
|-
|-
|Locrian ♮5
|Minor b8 b9 b12
|sLLLsLLsLLsLL
|LsLLsLsLLLsLL
|<nowiki>3|9</nowiki>
|<nowiki>11|1 b3 b6 b7 b8 b9 b12</nowiki>
|m
|M
|m
|m
|P
|P
Line 2,868: Line 2,314:
|m
|m
|m
|m
|P
|d
|m
|m
|m
|m
Line 2,875: Line 2,321:
|m
|m
|-
|-
|Lydian♮11 b14
|Minor b5 b9
|LLLsLLsLLsLLs
|LsLsLLLsLLLsL
|<nowiki>12|0</nowiki>
|<nowiki>10|2 b3 b5 b6 b7 b9</nowiki>
|M
|M
|M
|m
|A
|P
|P
|d
|M
|M
|M
|m
|P
|P
|M
|m
|M
|m
|P
|P
|P
|d
|M
| m
|-
|-
|Hindu ♮6
|Phrygian♮9
|LLsLLsLLsLLsL
|sLLLsLLLsLLsL
|<nowiki>8|4</nowiki>
|<nowiki>9|3 b2 b3 b6 b13 </nowiki>
|M
|m
|M
|m
|P
|P
|P
|P
|M
|m
|m
|m
|P
|P
Line 2,907: Line 2,353:
|m
|m
|-
|-
|Locrian ♮2 ♮5
|Dorian b12 b13
|LsLLsLLsLLsLL
|LsLLLsLLsLsLL
|<nowiki>4|8</nowiki>
|<nowiki>8|4 b2 b3 b6 b13</nowiki>
|M
|M
|m
|m
|P
|P
|P
|P
|M
|m
|m
|P
|M
|m
|m
|P
|P
|m
|m
|m
|P
|d
|m
|m
|-
|-
|Locrian b8 b11
|Persian Dominant b9
|sLLsLLsLLsLLL
|LLsLLsLsLLLsL
|<nowiki>0|12</nowiki>
|<nowiki>7|5 #3 b9 b10</nowiki>
|M
|m
|m
|P
|P
|M
|m
|m
|P
|P
|d
|m
|m
|m
|m
|d
|P
|m
|P
|m
|M
|d
|d
|m
|}
|}
{| class="wikitable"
{| class="wikitable"
|+
!Mode
!Mode
!Scale
!Scale
Line 2,961: Line 2,408:
!13th
!13th
|-
|-
|Persian ♮7
|Phrygian
|LLsLLLsLsLLLs
|sLLLsLLsLLLsL
|<nowiki>9|3 #7</nowiki>
|<nowiki>5|7 b2</nowiki>
|M
|m
|M
|m
|P
|P
|P
|P
|M
|m
|M
|m
|P
|P
|M
| m
|m
|m
|P
|P
|P
|P
|M
|m
|-
|-
|Phrygian ♮2 ♮6
|Minor b12
|LsLLLsLsLLLsL
|LsLLsLLLsLsLL
|<nowiki>5|7 #6</nowiki>
|<nowiki>4|8 #9 b12</nowiki>
|M
|M
|m
|m
|P
|P
|P
|m
|m
|P
|P
|M
|M
|m
|m
|P
|P
|d
|m
|m
|-
|Phrygian ♮2 ♮6
|LsLLLsLsLLLsL
|<nowiki>3|9 #2 #6</nowiki>
|M
|m
|m
|P
|P
|P
|P
|M
|m
|m
|-
|P
|Phrygian
| m
|sLLLsLsLLLsLL
|<nowiki>5|7 b2</nowiki>
|m
|m
|P
|P
|m
|m
|-
|Hindu
|LLsLsLLLsLLsL
|<nowiki>2|10 #2 #5 #9 #12</nowiki>
|M
|M
|P
|P
|P
|P
Line 3,003: Line 2,466:
|m
|m
|P
|P
|m
|M
|m
|m
|P
|P
Line 3,009: Line 2,472:
|m
|m
|-
|-
|Major #4 b14
|Dorian
|LLLsLsLLLsLLs
|LsLLLsLLsLLLs
|<nowiki>11|1 #4</nowiki>
|<nowiki>1|11 #2 #5 #8 #9 #12</nowiki>
|M
|M
|M
|m
|A
|P
|P
|P
|M
|M
|M
|m
|P
|P
|M
|M
|M
|m
|P
|P
|P
|P
|M
|M
|-
|-
|Hindu
|Mixolydian Dominant
|LLsLsLLLsLLsL
|LLsLLsLLLsLsL
|<nowiki>8|4 b6</nowiki>
|<nowiki>0|12 #2 #3 #5 #8 #9 #10 #11 #12</nowiki>
|M
|M
|P
|P
|m
|m
|P
|M
|m
|P
|P
|m
|-
|Persian ♮7
|LLsLLLsLsLLLs
|<nowiki>12|0 b4 b10</nowiki>
|M
|M
|P
|P
|M
|M
|P
|M
|m
|P
|P
|M
|-
|Lydian Dominant ♮11
|LLLsLsLLLsLLs
|<nowiki>11|1 #4 b7</nowiki>
|M
|M
|M
|M
|A
|P
|P
|M
|M
|P
|P
|M
|M
|m
|M
|P
|P
|M
|P
|m
|M
|P
|-
|P
|Locrian b4 b8 b11
|m
|sLsLLLsLLsLLL
|-
|<nowiki>10|2 b2 b3 b4 b5 b6 b8 b9 b10 b11 b12 b13</nowiki>
|Locrian ♮2
|m
|LsLsLLLsLLsLL
|m
|<nowiki>2|10 #2</nowiki>
|d
|M
|d
|m
|m
|P
|m
|d
|d
|m
|m
|m
|m
|P
|d
|m
|d
|m
|m
|P
|-
|d
|Lydian b14
|m
|LLLsLLsLLLsLs
|-
|<nowiki>9|3 #4 #7</nowiki>
|Locrian b4 b8 b11
|M
|sLsLLLsLLsLLL
|M
|<nowiki>0|12 b4</nowiki>
|P
|m
|P
|m
|M
|d
|M
|d
|P
|m
|M
|m
|M
|d
|A
|m
|P
|m
|M
|d
|-
|d
|Locrian b11
|m
|sLLsLLLsLsLLL
|-
|<nowiki>8|4 b2 b3 b5 b6 b8 b9 b11 b12 b13</nowiki>
|Dorian  
|m
|m
|P
|d
|m
|m
|P
|m
|m
| d
|d
|m
|-
|Phrygian b8
|sLLLsLsLLLsLL
|<nowiki>7|5 b2 b5 b6 b8 b9 b11 b12 b13</nowiki>
|m
|m
|P
|P
|m
|m
|d
|m
|m
|P
|P
|m
|-
|Minor b5 b9 b12
|LsLsLLLsLLsLL
|<nowiki>6|6 b5 b9 b12</nowiki>
| M
|m
|P
|P
|m
|m
|P
|m
|m
| P
|P
|M
|}
{| class="wikitable"
!Mode
!Scale
![[Modal UDP Notation|UDP]]
! colspan="12" |Interval type
|-
!name
!pattern
!notation
!2nd
!3rd
!4th
!5th
!6th
!7th
!8th
!9th
!10th
!11th
!12th
!13th
|-
|Lydian b14
|LLLsLLsLLLsLs
|<nowiki>12|0 #11</nowiki>
|M
|M
|P
|P
|M
|M
|P
|M
|M
|A
|P
|M
|-
|Locrian b11
|sLLsLLLsLsLLL
|<nowiki>11|1 b2 b3 b5 b6 b7 b9 b10 b12 b13</nowiki>
|m
|m
|P
|d
|m
|m
|P
|m
|m
|d
|d
|m
|-
|Phrygian b8
|sLLLsLsLLLsLL
|<nowiki>10|2 b2 b3 b4 b8 b9 b10 b12 b13</nowiki>
|m
|m
|P
|d
|m
|m
|P
|m
|m
|d
|d
|m
|-
|Minor b5 b9 b12
|LsLsLLLsLLsLL
|<nowiki>9|3 b3 b5 b6 b9 b12 b13</nowiki>
|m
|m
|P
|P
|m
|m
|d
|m
|m
|P
|P
|m
|-
|Phrygian
|sLLLsLLsLLLsL
|<nowiki>8|4 b6 b9 </nowiki>
|m
|m
|P
|P
|m
|m
|P
|m
|m
|P
|P
|M
|-
|Minor b12
|LsLLsLLLsLsLL
|<nowiki>7|5 b6 b12</nowiki>
|m
|m
|P
|P
|m
|m
|P
|M
|m
|P
|d
|m
|-
|Minor b9
|LsLLLsLsLLLsL
|<nowiki>6|6 b9</nowiki>
|M
|m
|P
|P
|m
|m
|P
|m
|m
|P
|P
|m
|-
|Hindu
|LLsLsLLLsLLsL
|<nowiki>5|7 #3 #9</nowiki>
|M
|M
|P
|P
|M
|m
|P
|M
|m
|P
|P
|m
|-
|Dorian
|LsLLLsLLsLLLs
|<nowiki>4|8 #6 #9 #10</nowiki>
|M
|m
|P
|P
|M
|m
|P
|M
|m
|P
|P
|m
|-
|Mixolydian Dominant
|LLsLLsLLLsLsL
|<nowiki>3|9 #2 #3 #6 #9 #10 #12</nowiki>
|M
|m
|P
|P
|M
|m
|P
|M
|M
|P
|P
|M
|-
|Persian ♮7
|LLsLLLsLsLLLs
|<nowiki>2|10 #2 #3 #5 #6 #7 #9 #12 #13</nowiki>
|M
|M
|P
|P
|M
|M
|P
|M
|m
|P
|P
|M
|-
|Lydian Dominant ♮11
|LLLsLsLLLsLLs
|<nowiki>1|11 #2 #3 #4 #5 #6 #8 #9 #10 #12</nowiki>
|M
|M
|A
|P
|M
|M
|P
|M
|M
|P
|P
|M
|-
|Locrian b4 b8 b11
|sLsLLLsLLsLLL
|<nowiki>0|12 b4</nowiki>
|m
|m
|d
|d
|m
|m
|d
|m
|m
|d
|d
|m
|}
{| class="wikitable"
!Mode
!Scale
![[Modal UDP Notation|UDP]]
! colspan="12" |Interval type
|-
!name
!pattern
!notation
!2nd
!3rd
!4th
!5th
!6th
!7th
! 8th
!9th
!10th
!11th
!12th
!13th
|-
|Lydian b14
|LLLsLLsLLLsLs
|<nowiki>12|0 #11</nowiki>
|M
|M
|P
|P
|M
|M
|P
|M
|M
|A
|P
| M
|-
|Locrian b11
|sLLsLLLsLsLLL
|<nowiki>11|1 b2 b3 b5 b6 b7 b9 b10 b12 b13</nowiki>
|m
|m
|P
|d
|m
|m
| P
|m
|m
|d
| d
|m
|-
|Phrygian b8
|sLLLsLsLLLsLL
|<nowiki>10|2 b2 b3 b4 b8 b9 b10 b12 b13</nowiki>
|m
|m
|P
|d
|m
|m
|P
|m
|m
| d
|d
|m
|-
|Minor b5 b9 b12
|LsLsLLLsLLsLL
|<nowiki>9|3 b3 b5 b6 b9 b12 b13</nowiki>
|m
|m
|P
|P
|m
|m
|d
|m
|m
|P
|P
|m
|-
|Phrygian
|sLLLsLLsLLLsL
|<nowiki>8|4 b6 b9 </nowiki>
|m
|m
|P
|P
|m
|m
|P
|m
|m
|P
|P
|M
|-
|Minor b12
|LsLLsLLLsLsLL
|<nowiki>7|5 b6 b12</nowiki>
|m
|m
|P
|P
|m
|m
|P
|M
|m
|P
|d
|m
|-
|Minor b9
|LsLLLsLsLLLsL
|<nowiki>6|6 b9</nowiki>
|M
|m
|P
|P
|m
|m
|P
|m
|m
|P
|P
|m
|-
|Hindu
|LLsLsLLLsLLsL
|<nowiki>5|7 #3 #9</nowiki>
|M
|M
|P
|P
|M
|m
|P
|M
|m
|P
|P
|m
|-
|Dorian
|LsLLLsLLsLLLs
|<nowiki>4|8 #6 #9 #10</nowiki>
|M
|m
|P
|P
|M
|m
|P
|M
|m
|P
|P
|m
|-
|Mixolydian Dominant
|LLsLLsLLLsLsL
|<nowiki>3|9 #2 #3 #6 #9 #10 #12</nowiki>
|M
|m
|P
|P
|M
|m
|P
|M
|M
|P
|P
|M
|-
|Persian ♮7
|LLsLLLsLsLLLs
|<nowiki>2|10 #2 #3 #5 #6 #7 #9 #12 #13</nowiki>
|M
|M
|P
|P
|M
|M
|P
|M
|m
|P
|P
|M
|-
|Lydian Dominant♮11
|LLLsLsLLLsLLs
|<nowiki>1|11 #2 #3 #4 #5 #6 #8 #9 #10 #12</nowiki>
|M
|M
|A
|P
|M
|M
|P
|M
|M
|P
|P
|M
|-
|Locrian b4 b8 b11
|sLsLLLsLLsLLL
|<nowiki>0|12 b4</nowiki>
|m
|m
|d
|d
|m
|m
|d
|m
|m
|d
|d
|m
|}
{| class="wikitable"
|+
!Mode
!Scale
![[Modal UDP Notation|UDP]]
! colspan="12" |Interval type
|-
!name
!pattern
!notation
!2nd
!3rd
!4th
!5th
!6th
!7th
!8th
!9th
!10th
!11th
!12th
!13th
|-
|Mixolydian Dominant
|LLsLLsLLLsLsL
|<nowiki>10|2 b13</nowiki>
|M
|M
|P
|P
|m
|m
|P
|M
|m
|P
|P
|m
|-
|Persian ♮7
|LLsLLLsLsLLLs
|<nowiki>9|3 #7</nowiki>
|M
|M
|P
|P
|M
|M
|P
|M
|m
|P
|P
|M
|-
|Major #4 b14
|LLLsLsLLLsLLs
|<nowiki>8|4 #3 #4 #7 #10 #13 </nowiki>
|M
|M
|A
|P
|M
|M
|P
|M
|m
|P
|P
|M
|-
|Locrian b4 b8 b11
|sLsLLLsLLsLLL
|<nowiki>7|5 b2 b4 b5 b6 b8 b9 b10 b11 b12</nowiki>
|m
|m
|d
|d
|m
|m
|d
|m
|m
|d
|d
|m
|-
|Lydian b14
|LLLsLLsLLLsLs
|<nowiki>6|6 #3 #4 #6 #7 #10 #11 #13</nowiki>
|M
|M
|A
|P
|M
|M
|P
|M
|M
|A
|P
|M
|-
|Locrian b11
|sLLsLLLsLsLLL
|<nowiki>5|7 b2 b5 b6 b9 b11</nowiki>
|m
|m
|P
|d
|m
|m
|P
|m
|m
|d
|d
|m
|-
|Phrygian b8
|sLLLsLsLLLsLL
|<nowiki>4|8 b8 #12</nowiki>
|m
|m
|P
|P
|m
|m
|d
|m
|m
|P
|P
|m
|-
|Locrian♮2
|LsLsLLLsLLsLL
|<nowiki>3|9 #5 #6 #7 #8 #9 #10 #12</nowiki>
|M
|m
|P
|d
|M
|m
|P
|M
|m
|P
|P
|m
|-
|Phrygian
|sLLLsLLsLLLsL
|<nowiki>2|10 #5 #12</nowiki>
|m
|m
|P
|P
|m
|m
|P
|m
|m
|P
|P
|m
|-
|Minor b12
|LsLLsLLLsLsLL
|<nowiki>1|11 #2 #5 #6 #8 #9 #12</nowiki>
|M
|m
|P
|P
|m
|m
|P
|M
|m
|P
|d
|m
|-
|Phrygian♮2 ♮6
|LsLLLsLsLLLsL
|<nowiki>0|12 #2 #5 #8 #11 #12</nowiki>
|M
|m
|P
|P
|M
|m
|P
|m
|m
|P
|P
|m
|-
|Hindu
|LLsLsLLLsLLsL
|<nowiki>12|0 b3 b4 b7 b10</nowiki>
|M
|M
|P
|P
|m
|m
|P
|M
|m
|P
|P
|m
|-
|Dorian
|LsLLLsLLsLLLs
|<nowiki>11|1 b3 b7 b10</nowiki>
|M
|m
|P
|P
|M
|m
|P
|M
|m
|P
|P
|M
|}
 
===Cyclic Permutation Order===
{| class="wikitable"
|+
!Mode
!Scale
![[Modal UDP Notation|UDP]]
! colspan="12" |Interval type
|-
!name
!pattern
!notation
!2nd
!3rd
!4th
!5th
!6th
!7th
!8th
!9th
!10th
!11th
!12th
!13th
|-
|Mixolydian b10 (Persian)
|LLsLLsLLsLLLs
|<nowiki>9|3</nowiki>
|M
|M
|P
|P
|M
|m
|P
|M
|m
|P
|P
|M
|-
|Phrygian♮2
|LsLLsLLsLLLsL
|<nowiki>5|7</nowiki>
|M
|m
|P
|P
|m
|m
|P
|m
|m
|P
|P
|m
|-
|Locrian b8
|sLLsLLsLLLsLL
|<nowiki>1|11</nowiki>
|m
|m
|P
|d
|m
|m
|d
|m
|m
|P
|d
|m
|-
|Mixolydian
|LLsLLsLLLsLLs
|<nowiki>10|2</nowiki>
|M
|M
|P
|P
|M
|m
|P
|M
|M
|P
|P
|M
|-
|Minor
|LsLLsLLLsLLsL
|<nowiki>6|6</nowiki>
|M
|m
|P
|P
|m
|m
|P
|M
|m
|P
|P
|m
|-
|Locrian
|sLLsLLLsLLsLL
|<nowiki>2|10</nowiki>
|m
|m
|P
|d
|m
|m
|P
|m
|m
|P
|d
|m
|-
|Major b14
|LLsLLLsLLsLLs
|<nowiki>11|1</nowiki>
|M
|M
|P
|P
|M
|M
|P
|M
|M
|P
|P
|M
|-
|Dorian b13
|LsLLLsLLsLLsL
|<nowiki>7|5</nowiki>
|M
|m
|P
|P
|M
|m
|P
|M
|m
|P
|P
|m
|-
|Locrian♮5
|sLLLsLLsLLsLL
|<nowiki>3|9</nowiki>
|m
|m
|P
|P
|m
|m
|P
|m
|m
|P
|d
|m
|-
|Lydian♮11 b14
|LLLsLLsLLsLLs
|<nowiki>12|0</nowiki>
|M
|M
|A
|P
|M
|M
|P
|M
|M
|P
|P
|M
|-
|Hindu♮6
|LLsLLsLLsLLsL
|<nowiki>8|4</nowiki>
|M
|M
|P
|P
|M
|m
|P
|M
|m
|P
|P
|m
|-
|Locrian♮2♮5
|LsLLsLLsLLsLL
|<nowiki>4|8</nowiki>
|M
|m
|P
|P
|m
|m
|P
|m
|m
|P
|d
|m
|-
|Locrian b8 b11
|sLLsLLsLLsLLL
|<nowiki>0|12</nowiki>
|m
|m
|P
|d
|m
|m
|d
|m
|m
|d
|d
|m
|}
{| class="wikitable"
!Mode
!Scale
![[Modal UDP Notation|UDP]]
! colspan="12" |Interval type
|-
!name
!pattern
!notation
!2nd
!3rd
!4th
!5th
!6th
!7th
!8th
!9th
!10th
!11th
!12th
!13th
|-
|Persian♮7
|LLsLLLsLsLLLs
|<nowiki>9|3 #7</nowiki>
|M
|M
|P
|P
|M
|M
|P
|M
|m
|P
|P
|M
|-
|Phrygian♮2♮6
|LsLLLsLsLLLsL
|<nowiki>5|7 #6</nowiki>
|M
|m
|P
|P
|M
|m
|P
|m
|m
|P
|P
|m
|-
|Phrygian
|sLLLsLsLLLsLL
|<nowiki>5|7 b2</nowiki>
|m
|m
|P
|P
|m
|m
|P
|m
|m
|P
|P
|m
|-
|Major #4 b14
|LLLsLsLLLsLLs
|<nowiki>11|1 #4</nowiki>
|M
|M
|A
|P
|M
|M
|P
|M
|M
|P
|P
|M
|-
|Hindu
|LLsLsLLLsLLsL
|<nowiki>8|4 b6</nowiki>
|M
|M
|P
|P
|M
|m
|P
|M
|m
|P
|P
|m
|-
|Locrian♮2
|LsLsLLLsLLsLL
|<nowiki>2|10 #2</nowiki>
|M
|m
|P
|d
|m
|m
|P
|m
|m
|P
|d
|m
|-
|Locrian b4 b8 b11
|sLsLLLsLLsLLL
|<nowiki>0|12 b4</nowiki>
|m
|m
|d
|d
|m
|m
|d
|m
|m
|d
|d
|m
|-
|Dorian
|LsLLLsLLsLLLs
|LsLLLsLLsLLLs
|<nowiki>7|5 #13</nowiki>
|<nowiki>7|5 #13</nowiki>
Line 3,223: Line 3,824:
|m
|m
|-
|-
|Locrian ♮2
|Locrian♮2
|LsLsLLsLLLsLL
|LsLsLLsLLLsLL
|<nowiki>2|10 #2</nowiki>
|<nowiki>2|10 #2</nowiki>
Line 3,303: Line 3,904:
|M
|M
|-
|-
|Dorian ♮10 b13
|Dorian♮10 b13
|LsLLLsLLLsLsL
|LsLLLsLLLsLsL
|<nowiki>7|5 #10</nowiki>
|<nowiki>7|5 #10</nowiki>
Line 3,319: Line 3,920:
|m
|m
|-
|-
|Locrian ♮5 ♮9
|Locrian♮5♮9
|sLLLsLLLsLsLL
|sLLLsLLLsLsLL
|<nowiki>3|9 #9</nowiki>
|<nowiki>3|9 #9</nowiki>
Line 3,367: Line 3,968:
|m
|m
|-
|-
|Locrian ♮2 ♮5 ♮6
|Locrian♮2♮5♮6
|LsLLLsLsLLsLL
|LsLLLsLsLLsLL
|<nowiki>4|8 #6</nowiki>
|<nowiki>4|8 #6</nowiki>
Line 3,383: Line 3,984:
|m
|m
|-
|-
|Locrian ♮5 b8 b11
|Locrian♮5 b8 b11
|sLLLsLsLLsLLL
|sLLLsLsLLsLLL
|<nowiki>0|12 #5</nowiki>
|<nowiki>0|12 #5</nowiki>
Line 3,506: Line 4,107:
|-
|-
|23\101
|23\101
|<u>501.{{Overline|81}}</u>
|<u>501.818</u>
|9
|9
|5
|5
Line 3,646: Line 4,247:
|}
|}


== See also ==
==See also==
[[9L 4s (7/2-equivalent)]] - septimal Shōsūshī tuning
[[9L 4s (7/2-equivalent)]] - septimal Shōsūshī tuning


Retrieved from "https://en.xen.wiki/w/User:Moremajorthanmajor/9L_4s_(minor_fourteenth-equivalent)"