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| {{Infobox MOS}} | | {{Infobox MOS|Tuning=9L 4s<7/2>}} |
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| '''Shōsūshī''' - so named because of the four small steps in its diatonic MOS - is an excellent 8*-limit temperament tempering out 64/63. | | '''Shōsūshī''' - so named because of the four small steps in its diatonic MOS - is an excellent 8*-limit temperament tempering out 64/63. |
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| == Properties == | | == Properties == |
| In shōsūshī, the just major 21st (15/2) is divided into 7 equal steps. These steps form quartal harmonies (1-4/3-7/4-7/3…). Alternately, the ‘perfect eleventh’ 8/3 also makes a good shōsūshī generator. Compatible equal temperaments include [[22edXIV]]; [[31edXIV]], [[40edXIV]] and [[49edXIV]] (7-ward) and [[35edXIV]], [[48edXIV]] and [[61edXIV]] (9-ward). | | In shōsūshī, the just major 21st (15/2) is divided into 7 equal steps. These steps form quartal harmonies (1-4/3-7/4-7/3…). Alternately, the ‘perfect eleventh’ 8/3 also makes a good shōsūshī generator. Compatible equal temperaments include [[22ed7/2]], [[31ed7/2]], [[40ed7/2]] and [[49ed7/2]]. |
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| == Notation == | | == Notation == |
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| '''く''' か/そb そ/か# '''す''' さ/とb と/さ# '''つ/のb''' た/の '''ぬ/た#''' な/ほb ほ/な# '''ふ''' は/もb も/は# '''む''' よ/けb け/よ# '''ゆ/やb''' や/ま '''き/ま#''' き#/せb せ '''し''' し#/てb て '''ち/ねb''' ち#/ね '''に''' に#/へb へ '''ひ''' ひ#/めb め '''み/こb''' み#/こ | | '''く''' か/そb そ/か# '''す''' さ/とb と/さ# '''つ/のb''' た/の '''ぬ/た#''' な/ほb ほ/な# '''ふ''' は/もb も/は# '''む''' よ/けb け/よ# '''ゆ/やb''' や/ま '''き/ま#''' き#/せb せ '''し''' し#/てb て '''ち/ねb''' ち#/ね '''に''' に#/へb へ '''ひ''' ひ#/めb め '''み/こb''' み#/こ |
| {| class="wikitable" | | {| class="wikitable" |
| |+Cents<ref name=":0">Fractions repeating more than 4 digits written as continued fractions </ref> | | |+Cents |
| !Notation | | !Notation |
| !Supersoft | | !Supersoft |
Line 34: |
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| |- | | |- |
| |か (く#) | | |か (く#) |
| |1\48 | | |1\48, 45.18 |
| 46; 6, 2
| | |1\35, 61.97 |
| |1\35 | | |2\57, 76.10 |
| 63: 6, 3
| | | rowspan="2" |1\22, 98.58 |
| |2\57 | | |3\53, 122.76 |
| 77; 2, 2, 1, 1
| | |2\31, 139.92 |
| | rowspan="2" |1\22 | | |3\40, 162.66 |
| 100
| |
| |3\53 | |
| 124; 7, 4
| |
| |2\31 | |
| 141; 5, 1, 2
| |
| |3\40 | |
| 163.{{Overline|63}}
| |
| |- | | |- |
| |そ (すb) | | |そ (すb) |
| |3\48 | | |3\48, 135.55 |
| 138; 2, 6
| | |2\35, 123.93 |
| |2\35 | | |3\57, 114.15 |
| 126; 3, 6
| | |2\53, 81.84 |
| |3\57 | | |1\31, 69.96 |
| 116; 7, 1, 3
| | |1\40, 54.22 |
| |2\53 | |
| 82; 1, 3, 7
| |
| |1\31 | |
| 70; 1, 1, 2, 3
| |
| |1\40 | |
| 54.{{Overline|54}} | |
| |- | | |- |
| |す | | |す |
| |4\48 | | |4\48, 180.735 |
| 184; 1, 1, 1, 1, 2
| | |3\35, 185.90 |
| |3\35 | | |5\57, 190.25 |
| 189; 2, 9
| | |2\22, 197.17 |
| |5\57 | | |5\53, 204.61 |
| 193; 1, 1, 4, 1, 2
| | |3\31, 209.89 |
| |2\22 | | |4\40, 218.88 |
| 200
| |
| |5\53 | |
| 206; 1, 8, 1, 2
| |
| |3\31 | |
| 211; 1, 3, 4
| |
| |4\40 | |
| 218.{{Overline|18}} | |
| |- | | |- |
| |さ (す#) | | |さ (す#) |
| |5\48 | | |5\48, 225.92 |
| 230; 1, 3, 3
| | |4\35, 247.87 |
| |4\35 | | |7\57, 266.35 |
| 252; 1, 1, 1, 2, 2
| | | rowspan="2" |3\22, 295.75 |
| |7\57 | | |8\53, 327.37 |
| 270; 1, 30
| | |5\31, 349.81 |
| | rowspan="2" |3\22 | | |7\40, 379.545 |
| 300
| |
| |8\53 | |
| 331; 29
| |
| |5\31 | |
| 352; 1, 16
| |
| |7\40 | |
| 381.{{Overline|81}}
| |
| |- | | |- |
| |と (つb) | | |と (つb) |
| |7\48 | | |7\48, 316.29 |
| 323; 13
| | |5\35, 309.83 |
| |5\35 | | |8\57, 304.40 |
| 315; 1, 3, 1, 3
| | |7\53, 286.45 |
| |8\57 | | |4\31, 279.85 |
| 309; 1, 2, 10
| | |5\40, 271.10 |
| |7\53 | |
| 289; 1, 1, 1, 9
| |
| |4\31 | |
| 282; 2, 1, 5
| |
| |5\40 | |
| 272.{{Overline|72}}
| |
| |- | | |- |
| |つ | | |つ |
| |8\48 | | |8\48, 361.47 |
| 369; 4, 3
| | |6\35, 371.80 |
| |6\35 | | |10\57, 380.495 |
| 378; 1, 18
| | |4\22, 394.33 |
| |10\57 | | |10\53, 409.21 |
| 387; 10, 3
| | |6\31, 419.77 |
| |4\22 | | |8\40, 433.765 |
| 400
| |
| |10\53 | |
| 413; 1, 3, 1, 5
| |
| |6\31 | |
| 423; 1, 1, 8
| |
| |8\40 | |
| 436.{{Overline|36}}
| |
| |- | | |- |
| |た (つ#) | | |た (つ#) |
| |9\48 | | |9\48, 406.655 |
| 415; 2, 1, 1, 2
| | | rowspan="2" |7\35, 433.765 |
| | rowspan="2" |7\35 | | |12\57, 456.595 |
| 442; 9, 2
| | |5\22, 492.915 |
| |12\57 | | |13\53, 531.98 |
| 464; 1, 1, 15
| | |8\31, 559.70 |
| |5\22 | | |11\40, 596.43 |
| 500
| |
| |13\53 | |
| 537; 13, 2
| |
| |8\31 | |
| 564; 1, 2, 2, 2
| |
| |11\40 | |
| 600
| |
| |- | | |- |
| |の (ぬb) | | |の (ぬb) |
| |10\48 | | |10\48, 451.83 |
| 461; 1, 1, 6
| | |11\57, 418.545 |
| |11\57 | | |4\22, 394.33 |
| 425; 1, 4, 6
| | |9\53, 368.29 |
| |4\22 | | |5\31, 349.81 |
| 400
| | |6\40, 325.32 |
| |9\53 | |
| 372; 2, 2, 2, 2
| |
| |5\31 | |
| 352; 1, 16
| |
| |6\40 | |
| 327.{{Overline|27}}
| |
| |- | | |- |
| |'''ぬ''' | | |'''ぬ''' |
| |'''11\48''' | | |'''11\48,''' '''497.02''' |
| '''507; 1, 2, 4''' | | |'''8\35, 495.73''' |
| |'''8\35''' | | |'''13\57,''' '''494.645''' |
| '''505; 3, 1, 4'''
| | |'''5\22, 492.915''' |
| |'''13\57''' | | |'''12\53,''' '''491.055''' |
| '''503; 4, 2, 3''' | | |'''7\31,''' '''489.735''' |
| |'''5\22''' | | |'''9\40,''' '''487.99''' |
| '''500'''
| |
| |'''12\53''' | |
| '''496; 1, 1, 4, 3''' | |
| |'''7\31''' | |
| '''494; 8, 2''' | |
| |'''9\40''' | |
| '''490.{{Overline|90}}''' | |
| |- | | |- |
| |な (ぬ#) | | |な (ぬ#) |
| |12\48 | | |12\48, 542.21 |
| 553; 1, 5, 2
| | |9\35, 557.70 |
| |9\35 | | |15\57, 570.74 |
| 568; 2, 2, 1, 2
| | | rowspan="2" |6\22, 591.50 |
| |15\57 | | |15\53, 613.82 |
| 580; 1, 1, 4, 2
| | |9\31, 629.66 |
| | rowspan="2" |6\22 | | |12\40, 650.65 |
| 600
| |
| |15\53 | |
| 620; 1, 2, 4, 2
| |
| |9\31 | |
| 635; 3, 2, 2
| |
| |12\40 | |
| 654.{{Overline|54}}
| |
| |- | | |- |
| |ほ (ふb) | | |ほ (ふb) |
| |14\48 | | |14\48, 632.57 |
| 646; 6, 2
| | |10\35, 619.665 |
| |10\35 | | |16\57, 608.79 |
| 631; 1, 1, 2, 1, 2
| | |14\53, 572.90 |
| |16\57 | | |8\31, 559.70 |
| 619; 2, 4, 2
| | |10\40, 542.21 |
| |14\53 | |
| 579; 9, 1, 2
| |
| |8\31 | |
| 564; 1, 2, 2, 2
| |
| |10\40 | |
| 545.{{Overline|45}}
| |
| |- | | |- |
| |ふ | | |ふ |
| |15\48 | | |15\48, 677.76 |
| 692; 3, 4
| | |11\35, 681.63 |
| |11\35 | | |18\57, 684.89 |
| 694; 1, 2, 1, 4
| | |7\22, 690.08 |
| |18\57 | | |17\53, 695.66 |
| 696; 1, 3, 2, 3
| | |10\31, 699.62 |
| |7\22 | | |13\40, 704.87 |
| 700
| |
| |17\53 | |
| 703; 2, 4, 3
| |
| |10\31 | |
| 705; 1, 7, 2
| |
| |13\40 | |
| 709.{{Overline|09}}
| |
| |- | | |- |
| |は (ふ#) | | |は (ふ#) |
| |16\48 | | |16\48, 722.94 |
| 738; 2, 6
| | |12\35, 743.60 |
| |12\35 | | |20\57, 760.99 |
| 757; 1, 8, 2
| | | rowspan="2" |8\22, 788.66 |
| |20\57 | | |20\53, 818.425 |
| 774; 5, 6
| | |12\31, 839.55 |
| | rowspan="2" |8\22 | | |16\40, 867.53 |
| 800
| |
| |20\53 | |
| 827; 1, 1, 2, 2, 2
| |
| |12\31 | |
| 847; 17
| |
| |16\40 | |
| 872.{{Overline|72}}
| |
| |- | | |- |
| |も (むb) | | |も (むb) |
| |18\48 | | |18\48, 813.31 |
| 830; 1, 3, 3
| | |13\35, 805.56 |
| |13\35 | | |21\57, 799.04 |
| 821; 19
| | |19\53, 777.50 |
| |21\57 | | |11\31, 769.58 |
| 812; 1, 9, 3
| | |14\40, 759.09 |
| |19\53 | |
| 786; 4, 1, 5
| |
| |11\31 | |
| 776; 2, 8
| |
| |14\40 | |
| 763.{{Overline|63}}
| |
| |- | | |- |
| |む | | |む |
| |19\48 | | |19\48, 850.49 |
| 876; 1, 12
| | |14\35, 867.53 |
| |14\35 | | |23\57, 875.14 |
| 884; 4, 1, 3
| | |9\22, 887.25 |
| |23\57 | | |22\53, 900.27 |
| 890; 3, 10
| | |13\31, 909.51 |
| |9\22 | | |17\40, 921.75 |
| 900
| |
| |22\53 | |
| 910; 2, 1, 9
| |
| |13\31 | |
| 917; 1, 1, 1, 5
| |
| |17\40 | |
| 927.{{Overline|27}}
| |
| |- | | |- |
| |よ (む#) | | |よ (む#) |
| |20\48 | | |20\48, 903.68 |
| 923; 13
| | |15\35, 929.50 |
| |15\35 | | |25\57, 951.24 |
| 947; 2, 1, 2, 2
| | | rowspan="2" |10\22, 985.83 |
| |25\57 | | |25\53, 1023.03 |
| 967; 1, 2, 1, 7
| | |15\31, 1049.43 |
| | rowspan="2" |10\22 | | |20\40, 1084.41 |
| 1000
| |
| |25\53 | |
| 1034; 2, 14
| |
| |15\31 | |
| 1058; 1, 4, 1, 2
| |
| |20\40 | |
| 1090.{{Overline|90}}
| |
| |- | | |- |
| |け (ゆb) | | |け (ゆb) |
| |22\48 | | |22\48, 994.045 |
| 1015; 2, 2, 2
| | |16\35, 991.46 |
| |16\35 | | |26\57, 989.29 |
| 1010; 1, 1, 9
| | |24\53, 982.11 |
| |26\57 | | |14\31, 979.47 |
| 1006; 2, 4, 1, 2
| | |18\40, 975.97 |
| |24\53 | |
| 993: 9, 1, 2
| |
| |14\31 | |
| 988; 4, 4
| |
| |18\40 | |
| 981.{{Overline|81}}
| |
| |- | | |- |
| |ゆ | | |ゆ |
| |23\48 | | |23\48, 1039.23 |
| 1061; 1, 1, 6
| | |17\35, 1053.43 |
| |17\35 | | |28\57, 1065.39 |
| 1073; 1, 2, 6
| | |11\22, 1084.41 |
| |28\57 | | |27\53, 1104.87 |
| 1083; 1, 6, 1, 3
| | |16\31, 1119.39 |
| |11\22 | | |21\40, 1138.63 |
| 1100
| |
| |27\53 | |
| 1127; 4, 7
| |
| |16\31 | |
| 1129; 2, 2, 3
| |
| |21\40 | |
| 1145.{{Overline|45}}
| |
| |- | | |- |
| |や (ゆ#) | | |や (ゆ#) |
| |24\48 | | |24\48, 1084.41 |
| 1107; 1, 2, 4
| | | rowspan="2" |18\35, 1115.40 |
| | rowspan="2" |18\35 | | |30\57, 1141.49 |
| 1136; 1, 5, 3
| | |12\22, 1183.00 |
| |30\57 | | |30\29, 1227.63 |
| 1161; 3, 2, 4
| | |15\31, 1049.43 |
| |12\22 | | |24\40, 1301.30 |
| 1200
| |
| |30\29 | |
| 1241; 2, 1, 1, 1, 3
| |
| |15\31 | |
| 1058; 1, 4, 1, 2
| |
| |24\40 | |
| 1309.{{Overline|09}}
| |
| |- | | |- |
| |ま (きb) | | |ま (きb) |
| |25\48 | | |25\48, 1129.60 |
| 1153; 1, 5, 2
| | |29\57, 1103.44 |
| |29\57 | | |11\22, 1084.41 |
| 1122; 1, 1, 2, 1, 1
| | |26\53, 1063.95 |
| |11\22 | | |18\31, 1259.32 |
| 1100
| | |19\40, 1030.19 |
| |26\53 | |
| 1075; 1, 6, 4
| |
| |18\31 | |
| 1270; 1, 1, 2, 3
| |
| |19\40 | |
| 1036.{{Overline|36}}
| |
| |- | | |- |
| |き | | |き |
| |26\48 | | |26\48, 1174.78 |
| 1200
| | |19\35, 1177.36 |
| |19\35 | | |31\57, 1179.54 |
| 1200
| | |12\22, 1183.00 |
| |31\57 | | |29\53, 1186.72 |
| 1200
| | |17\31, 1189.36 |
| |12\22 | | |22\40, 1192.85 |
| 1200
| |
| |29\53 | |
| 1200
| |
| |17\31 | |
| 1200
| |
| |22\40 | |
| 1200
| |
| |- | | |- |
| |き# | | |き# |
| |27\48 | | |27\48, 1219.965 |
| 1246; 6, 2
| | |20\35, 1239.32 |
| |20\35 | | |33\57, 1255.64 |
| 1263: 6, 3
| | | rowspan="2" |13\22, 1281.58 |
| |33\57 | | |32\53, 1309.48 |
| 1277; 2, 2, 1, 1
| | |18\31, 1259.32 |
| | rowspan="2" |13\22 | | |25\40, 1355.52 |
| 1300
| |
| |32\53 | |
| 1324; 7, 4
| |
| |18\31 | |
| 1270; 1, 1, 2, 3
| |
| |25\40 | |
| 1363.{{Overline|63}}
| |
| |- | | |- |
| |せ (しb) | | |せ (しb) |
| |29\48 | | |29\48, 1310.33 |
| 1338; 2, 6
| | |21\35, 1301.29 |
| |21\35 | | |34\57, 1293.69 |
| 1326; 3, 6
| | |31\53, 1268.56 |
| |34\57 | | |19\31, 1329.28 |
| 1316; 7, 1, 3
| | |23\40, 1247.075 |
| |31\53 | |
| 1282; 1, 3, 7
| |
| |19\31 | |
| 1341; 5, 1, 2
| |
| |23\40 | |
| 1254.{{Overline|54}}
| |
| |- | | |- |
| |し | | |し |
| |30\48 | | |30\48, 1355.52 |
| 1384; 1, 1, 1, 1, 2
| | |22\35, 1363.26 |
| |22\35 | | |36\57, 1369.785 |
| 1389; 2, 9
| | |14\22, 1380.16 |
| |36\57 | | |34\53, 1391.32 |
| 1393; 1, 1, 4, 1, 2
| | |20\31, 1399.24 |
| |14\22 | | |26\40, 1409.74 |
| 1400
| |
| |34\53 | |
| 1406; 1, 8, 1, 2
| |
| |20\31 | |
| 1411; 1, 3, 4
| |
| |26\40 | |
| 1418.{{Overline|18}}
| |
| |- | | |- |
| |し# | | |し# |
| |31\48 | | |31\48, 1400.70 |
| 1430; 1, 3, 3
| | |23\35, 1425.23 |
| |23\35 | | |38\57, 1445.88 |
| 1452; 1, 1, 1, 2, 2
| | | rowspan="2" |15\22, 1478.745 |
| |38\57 | | |37\53, 1514.09 |
| 1470; 1, 30
| | |22\31, 1539.17 |
| | rowspan="2" |15\22 | | |29\40, 1572.40 |
| 1500
| |
| |37\53 | |
| 1531; 29
| |
| |22\31 | |
| 1552; 1, 16
| |
| |29\40 | |
| 1581.{{Overline|81}}
| |
| |- | | |- |
| |て (ちb) | | |て (ちb) |
| |33\48 | | |33\48, 1491.07 |
| 1523; 13
| | |24\35, 1487.195 |
| |24\35 | | |39\57, 1483.93 |
| 1515; 1, 3, 1, 3
| | |36\53, 1473.165 |
| |39\57 | | |21\31, 1469.205 |
| 1509; 1, 2, 10
| | |27\40, 1463.96 |
| |36\53 | |
| 1389; 1, 1, 1, 9
| |
| |21\31 | |
| 1482; 2, 1, 5
| |
| |27\40 | |
| 1472.{{Overline|72}}
| |
| |- | | |- |
| |ち | | |ち |
| |34\48 | | |34\48, 1536.25 |
| 1569; 4, 3
| | |25\35, 1549.16 |
| |25\35 | | |41\57, 1560.03 |
| 1578; 1, 18
| | |16\22, 1577.33 |
| |41\57 | | |39\53, 1595.93 |
| 1587; 10, 3
| | |23\31, 1609.13 |
| |16\22 | | |30\40, 1626.62 |
| 1600
| |
| |39\53 | |
| 1613; 1, 3, 1, 5
| |
| |23\31 | |
| 1623; 1, 1, 8
| |
| |30\40 | |
| 1636.{{Overline|36}}
| |
| |- | | |- |
| |ち# | | |ち# |
| |35\48 | | |35\48, 1581.44 |
| 1615; 2, 2, 2
| | | rowspan="2" |26\35, 1611.13 |
| | rowspan="2" |26\35 | | |43\57, 1636.13 |
| 1642; 9, 2
| | |17\22, 1675.91 |
| |43\57 | | |42\53, 1718.69 |
| 1664; 1, 1, 15
| | |25\31, 1749.05 |
| |17\22 | | |33\40, 1789.28 |
| 1700
| |
| |42\53 | |
| 1737; 13, 2
| |
| |25\31 | |
| 1764; 1, 2, 2, 2
| |
| |33\40 | |
| 1800
| |
| |- | | |- |
| |ね (にb) | | |ね (にb) |
| |36\48 | | |36\48, 1626.62 |
| 1661; 1, 1, 6
| | |42\57, 1598.08 |
| |42\57 | | |16\22, 1577.33 |
| 1625; 1, 4, 6
| | |38\53, 1555.01 |
| |16\22 | | |22\31, 1539.17 |
| 1600
| | |28\40, 1518.18 |
| |38\53 | |
| 1572; 2, 2, 2, 2
| |
| |22\31 | |
| 1552; 1, 16
| |
| |28\40 | |
| 1527.{{Overline|27}}
| |
| |- | | |- |
| |'''に''' | | |'''に''' |
| |'''37\48''' | | |'''37\48,''' '''1671.80''' |
| '''1707; 1, 2, 4''' | | |'''27\35,''' '''1673.095''' |
| |'''27\35''' | | |'''44\57,''' '''1674.18''' |
| '''1705; 3, 1, 4''' | | |'''17\22, 1675.91''' |
| |'''44\57''' | | |'''41\53,''' '''1677.77''' |
| '''1703; 4, 2, 3''' | | |'''24\31,''' '''1679.09''' |
| |'''17\22''' | | |'''31\40,''' '''1680.84''' |
| '''1700'''
| |
| |'''41\53''' | |
| '''1696; 1, 1, 4, 3''' | |
| |'''24\31''' | |
| '''1694; 8, 2''' | |
| |'''31\40''' | |
| '''1690.{{Overline|90}}''' | |
| |- | | |- |
| |に# | | |に# |
| |38\48 | | |38\48, 1716.99 |
| 1753; 1, 5, 2
| | |28\35, 1735.06 |
| |28\35 | | |46\57, 1750.28 |
| 1768; 2, 2, 1, 2
| | | rowspan="2" |18\22, 1774.49 |
| |46\57 | | |44\53, 1800.535 |
| 1780; 1, 1, 4, 2
| | |26\31, 1819.015 |
| | rowspan="2" |18\22 | | |34\40, 1843.50 |
| 1800
| |
| |44\53 | |
| 1820; 1, 2, 4, 2
| |
| |26\31 | |
| 1835; 3, 2, 2
| |
| |34\40 | |
| 1854.{{Overline|54}}
| |
| |- | | |- |
| |へ (ひb) | | |へ (ひb) |
| |40\48 | | |40\48, 1807.355 |
| 1846; 6, 2
| | |29\35, 1797.03 |
| |29\35 | | |47\57, 1788.33 |
| 1831; 1, 1, 2, 1, 2
| | |43\53, 1759.61 |
| |47\57 | | |25\31, 1749.05 |
| 1819; 2, 4, 2
| | |32\40, 1735.06 |
| |43\53 | |
| 1779; 9, 1, 2
| |
| |25\31 | |
| 1764; 1, 2, 2, 2
| |
| |32\40 | |
| 1745.{{Overline|45}}
| |
| |- | | |- |
| |ひ | | |ひ |
| |41\48 | | |41\48, 1852.54 |
| 1892; 3, 4
| | |30\35, 1858.99 |
| |30\35 | | |49\57, 1864.43 |
| 1894; 1, 2, 1, 4
| | |19\22, 1873.08 |
| |49\57 | | |46\53, 1882.37 |
| 1896; 1, 3, 2, 3
| | |27\31, 1888.98 |
| |19\22 | | |35\40, 1897.72 |
| 1900
| |
| |46\53 | |
| 1903; 2, 4, 3
| |
| |27\31 | |
| 1905; 1, 7, 2
| |
| |35\40 | |
| 1909.{{Overline|09}}
| |
| |- | | |- |
| |ひ# | | |ひ# |
| |42\48 | | |42\48, 1897.72 |
| 1938; 2, 6
| | |31\35, 1920.96 |
| |31\35 | | |51\57, 1940.53 |
| 1957; 1, 8, 2
| | | rowspan="2" |20\22, 1971.66 |
| |51\57 | | |49\53, 2005.14 |
| 1974; 5, 6
| | |29\31, 2028.90 |
| | rowspan="2" |20\22 | | |38\40, 2060.385 |
| 2000
| |
| |49\53 | |
| 2027; 1, 1, 2, 2, 2
| |
| |29\31 | |
| 2047; 17
| |
| |38\40 | |
| 2072.{{Overline|72}}
| |
| |- | | |- |
| |め (みb) | | |め (みb) |
| |44\48 | | |44\48, 1988.09 |
| 2030; 1, 3, 3
| | |32\35, 1982.93 |
| |32\35 | | |52\57, 1978.58 |
| 2021; 19
| | |48\53, 1964.22 |
| |52\57 | | |28\31, 1958.94 |
| 2012; 1, 9, 3
| | |36\40, 1951.94 |
| |48\53 | |
| 1986; 4, 1, 5
| |
| |28\31 | |
| 1976; 2, 8
| |
| |36\40 | |
| 1963.{{Overline|63}}
| |
| |- | | |- |
| |み | | |み |
| |45\48 | | |45\48, 2033.27 |
| 2076; 1, 12
| | |33\35, 2044.89 |
| |33\35 | | |54\57, 2054.68 |
| 2084; 4, 1, 3
| | |21\22, 2070.24 |
| |54\57 | | |51\53, 2086.98 |
| 2090; 3, 10
| | |30\31, 2098.86 |
| |21\22 | | |39\40, 2114.605 |
| 2100
| |
| |51\53 | |
| 2110; 2, 1, 9
| |
| |30\31 | |
| 2117; 1, 1, 1, 5
| |
| |39\40 | |
| 2127.{{Overline|27}}
| |
| |- | | |- |
| |み# | | |み# |
| |46\48 | | |46\48, 2078.46 |
| 2123; 13
| | | rowspan="2" |34\35, 2106.86 |
| | rowspan="2" |34\35 | | |56\57, 2130.78 |
| 2147; 2, 1, 2, 2
| | |22\22, 2168.83 |
| |56\57 | | |54\53, 2209.75 |
| 2167; 1, 2, 1, 7
| | |32\31, 2238.79 |
| |22\22 | | |42\40, 2223.05 |
| 2200
| |
| |54\53 | |
| 2234; 2, 14
| |
| |32\31 | |
| 2258; 1, 4, 1, 2
| |
| |42\40 | |
| 2290.{{Overline|90}}
| |
| |- | | |- |
| |こ (くb) | | |こ (くb) |
| |47\48 | | |47\48, 2123.64 |
| 2169; 4, 3
| | |55\57, 2092.73 |
| |55\57 | | |21\22, 2070.24 |
| 2129; 31
| | |50\53, 2046.06 |
| |21\22 | | |29\31, 2028.90 |
| 2100
| | |37\40, 2006.16 |
| |50\53 | |
| 2068; 1, 28
| |
| |29\31 | |
| 2047; 17
| |
| |37\40 | |
| 2018.{{Overline|18}}
| |
| |- | | |- |
| !く | | !く |
| !48\48 | | !48\48, 2168.83 |
| 2215; 2, 2, 2
| | !35\35, 2168.83 |
| !35\35 | | !57\57, 2168.83 |
| 2210; 1, 1, 9
| | !22\22, 2168.83 |
| !57\57 | | !53\53, 2168.83 |
| 2206; 2, 4, 1, 2
| | !31\31, 2168.83 |
| !22\22 | | !40\40, 2168.83 |
| 2200
| |
| !53\53 | |
| 2193; 9, 1, 2
| |
| !31\31 | |
| 2188; 4, 4
| |
| !40\40 | |
| 2181.{{Overline|81}}
| |
| |} | | |} |
| {| class="wikitable"
| |
| |+Relative Cents<ref name=":0" />
| |
| !Notation
| |
| !Supersoft
| |
| !Soft
| |
| !Semisoft
| |
| !Basic
| |
| !Semihard
| |
| !Hard
| |
| !Superhard
| |
| |-
| |
| |か (く#)
| |
| |1\48
| |
| ''45.8{{Overline|3}}''
| |
| |1\35
| |
| ''62; 1, 6''
| |
| |2\57
| |
| ''77; 5, 5, 2''
| |
| | rowspan="2" |1\22
| |
| ''100''
| |
| |3\53
| |
| ''124; 1, 1, 8, 3''
| |
| |2\31
| |
| ''141; 1, 14, 2''
| |
| |3\40
| |
| ''165''
| |
| |-
| |
| |そ (すb)
| |
| |3\48
| |
| ''137.5''
| |
| |2\35
| |
| ''125; 1, 2, 2''
| |
| |3\57
| |
| ''115; 1, 3, 1, 3''
| |
| |2\53
| |
| ''83; 53''
| |
| |1\31
| |
| ''70; 1, 30''
| |
| |1\40
| |
| 55
| |
| |-
| |
| |す
| |
| |4\48
| |
| ''183.{{Overline|3}}''
| |
| |3\35
| |
| ''188; 1, 1, 3''
| |
| |5\57
| |
| ''192; 1, 56''
| |
| |2\22
| |
| ''200''
| |
| |5\53
| |
| ''207; 1, 1, 4, 1, 4''
| |
| |3\31
| |
| ''212; 1, 9, 3''
| |
| |4\40
| |
| ''220''
| |
| |-
| |
| |さ (す#)
| |
| |5\48
| |
| ''229.1{{Overline|6}}''
| |
| |4\35
| |
| ''251; 2, 3''
| |
| |7\57
| |
| ''270; 5, 1, 2, 3''
| |
| | rowspan="2" |3\22
| |
| ''300''
| |
| |8\53
| |
| ''332; 13, 4''
| |
| |5\31
| |
| ''354; 1, 5, 5''
| |
| |7\40
| |
| ''385''
| |
| |-
| |
| |と (つb)
| |
| |7\48
| |
| ''320.8{{Overline|3}}''
| |
| |5\35
| |
| ''314; 3, 2''
| |
| |8\57
| |
| ''308; 1, 3, 2, 1, 1, 2''
| |
| |7\53
| |
| ''290; 1, 1, 3, 3, 2''
| |
| |4\31
| |
| ''283; 1, 6, 1, 3''
| |
| |5\40
| |
| ''275''
| |
| |-
| |
| |つ
| |
| |8\48
| |
| ''366.{{Overline|6}}''
| |
| |6\35
| |
| ''377; 7''
| |
| |10\57
| |
| ''385; 1, 27, 2''
| |
| |4\22
| |
| ''400''
| |
| |10\53
| |
| ''415; 10, 1, 1, 2''
| |
| |6\31
| |
| ''425; 1, 4, 6''
| |
| |8\40
| |
| ''440''
| |
| |-
| |
| |た (つ#)
| |
| |9\48
| |
| ''412.5''
| |
| | rowspan="2" |7\35
| |
| ''440''
| |
| |12\57
| |
| ''463; 6, 3''
| |
| |5\22
| |
| ''500''
| |
| |13\53
| |
| ''539; 1, 1, 1, 1, 1, 6''
| |
| |8\31
| |
| ''567; 1, 2, 1, 7''
| |
| |11\40
| |
| ''605''
| |
| |-
| |
| |の (ぬb)
| |
| |10\48
| |
| ''458.{{Overline|3}}''
| |
| |11\57
| |
| ''424; 1, 1, 3, 1, 1, 3''
| |
| |4\22
| |
| ''400''
| |
| |9\53
| |
| ''373; 1, 1, 2, 2, 4''
| |
| |5\31
| |
| ''354; 1, 5, 5''
| |
| |6\40
| |
| ''330''
| |
| |-
| |
| |'''ぬ'''
| |
| |'''11\48'''
| |
| '''''504.1{{Overline|6}}'''''
| |
| |'''8\35'''
| |
| '''''502; 1, 6'''''
| |
| |'''13\57'''
| |
| '''''501; 1, 3, 14'''''
| |
| |'''5\22'''
| |
| '''''500'''''
| |
| |'''12\53'''
| |
| '''''498; 8, 1, 5'''''
| |
| |'''7\31'''
| |
| '''''496; 1, 3, 2, 3'''''
| |
| |'''9\40'''
| |
| '''''495'''''
| |
| |-
| |
| |な (ぬ#)
| |
| |12\48
| |
| ''550''
| |
| |9\35
| |
| ''565; 1, 2, 2''
| |
| |15\57
| |
| ''578; 1, 18''
| |
| | rowspan="2" |6\22
| |
| ''600''
| |
| |15\53
| |
| ''622; 1, 1, 1, 3, 1, 3''
| |
| |9\31
| |
| ''638; 1, 2, 2, 4''
| |
| |12\40
| |
| ''660''
| |
| |-
| |
| |ほ (ふb)
| |
| |14\48
| |
| ''641.{{Overline|6}}''
| |
| |10\35
| |
| ''628; 1, 1, 3''
| |
| |16\57
| |
| ''617; 1, 1, 5, 5''
| |
| |14\53
| |
| ''581; 7, 1, 1, 3''
| |
| |8\31
| |
| ''567; 1, 2, 1, 7''
| |
| |10\40
| |
| ''550''
| |
| |-
| |
| |ふ
| |
| |15\48
| |
| ''687.5''
| |
| |11\35
| |
| ''691; 2, 3''
| |
| |18\57
| |
| ''694; 1, 2, 1, 4''
| |
| |7\22
| |
| ''700''
| |
| |17\53
| |
| ''705; 1, 1, 1, 17''
| |
| |10\31
| |
| ''709; 1, 2, 10''
| |
| |13\40
| |
| ''715''
| |
| |-
| |
| |は (ふ#)
| |
| |16\48
| |
| ''733.{{Overline|3}}''
| |
| |12\35
| |
| ''754; 3, 2''
| |
| |20\57
| |
| ''771; 1, 13, 4''
| |
| | rowspan="2" |8\22
| |
| ''800''
| |
| |20\53
| |
| ''830; 5, 3, 3''
| |
| |12\31
| |
| ''851; 1, 1, 1, 1, 2, 2''
| |
| |16\40
| |
| ''880''
| |
| |-
| |
| |も (むb)
| |
| |18\48
| |
| ''825''
| |
| |13\35
| |
| ''817; 7''
| |
| |21\57
| |
| ''810; 1, 1, 9''
| |
| |19\53
| |
| ''788; 1, 2, 8, 2''
| |
| |11\31
| |
| ''780; 1, 1, 1, 4, 2''
| |
| |14\40
| |
| ''770''
| |
| |-
| |
| |む
| |
| |19\48
| |
| ''870.8{{Overline|3}}''
| |
| |14\35
| |
| ''880''
| |
| |23\57
| |
| ''887; 1, 2, 1, 1, 3, 2''
| |
| |9\22
| |
| ''900''
| |
| |22\53
| |
| ''913; 4, 1, 4, 2''
| |
| |13\31
| |
| ''922; 1, 1, 2, 1, 1, 2''
| |
| |17\40
| |
| ''935''
| |
| |-
| |
| |よ (む#)
| |
| |20\48
| |
| ''916.{{Overline|6}}''
| |
| |15\35
| |
| ''942; 1, 6''
| |
| |25\57
| |
| ''964; 1, 10, 3, 2''
| |
| | rowspan="2" |10\22
| |
| ''1000''
| |
| |25\53
| |
| ''1037; 1, 2, 1, 3, 1, 2''
| |
| |15\31
| |
| ''1064; 1, 1, 15''
| |
| |20\40
| |
| ''1100''
| |
| |-
| |
| |け (ゆb)
| |
| |22\48
| |
| ''1013.{{Overline|3}}''
| |
| |16\35
| |
| ''1005; 1, 2, 2''
| |
| |26\57
| |
| ''1003; 1, 1, 28''
| |
| |24\53
| |
| ''996: 4, 2, 2, 2''
| |
| |14\31
| |
| ''993; 1, 1, 4, 1, 2''
| |
| |18\40
| |
| ''990''
| |
| |-
| |
| |ゆ
| |
| |23\48
| |
| ''1059.1{{Overline|6}}''
| |
| |17\35
| |
| ''1068; 1, 1, 3''
| |
| |28\57
| |
| ''1080; 1, 2, 2, 1, 5''
| |
| |11\22
| |
| ''1100''
| |
| |27\53
| |
| ''1130; 1, 3, 13''
| |
| |16\31
| |
| ''1135; 2, 15''
| |
| |21\40
| |
| ''1155''
| |
| |-
| |
| |や (ゆ#)
| |
| |24\48
| |
| ''1100''
| |
| | rowspan="2" |18\35
| |
| ''1131; 2, 3''
| |
| |30\57
| |
| ''1157; 1, 8, 2''
| |
| |12\22
| |
| ''1200''
| |
| |30\29
| |
| ''1245; 3, 1, 1, 7''
| |
| |18\31
| |
| ''1277; 2, 2, 1, 1, 2''
| |
| |24\40
| |
| ''1320''
| |
| |-
| |
| |ま (きb)
| |
| |25\48
| |
| ''1145.8{{Overline|3}}''
| |
| |29\57
| |
| ''1119; 3, 2, 1, 5''
| |
| |11\22
| |
| ''1100''
| |
| |26\53
| |
| ''1079; 4, 13''
| |
| |15\31
| |
| ''1064; 1, 1, 15''
| |
| |19\40
| |
| ''1045''
| |
| |-
| |
| |き
| |
| |26\48
| |
| ''1191.{{Overline|6}}''
| |
| |19\35
| |
| ''1194: 3, 2''
| |
| |31\57
| |
| ''1196; 2, 28''
| |
| |12\22
| |
| ''1200''
| |
| |29\53
| |
| ''1203; 1, 3, 2, 2, 2''
| |
| |17\31
| |
| ''1206; 2, 3, 1, 2''
| |
| |22\40
| |
| ''1210''
| |
| |-
| |
| |き#
| |
| |27\48
| |
| ''1237.5''
| |
| |20\35
| |
| ''1257: 7''
| |
| |33\57
| |
| ''1273; 1, 2, 6''
| |
| | rowspan="2" |13\22
| |
| ''1300''
| |
| |32\53
| |
| ''1328; 3, 3, 5''
| |
| |19\31
| |
| ''1348; 2, 1, 1, 2, 2''
| |
| |25\40
| |
| ''1375''
| |
| |-
| |
| |せ (しb)
| |
| |29\48
| |
| ''1329.1{{Overline|6}}''
| |
| |21\35
| |
| ''1320''
| |
| |34\57
| |
| ''1312; 3, 1, 1, 3, 2''
| |
| |31\53
| |
| ''1286; 1, 3, 1, 1, 2''
| |
| |18\31
| |
| ''1277; 2, 2, 1, 1, 2''
| |
| |23\40
| |
| ''1265''
| |
| |-
| |
| |し
| |
| |30\48
| |
| ''1375''
| |
| |22\35
| |
| ''1382; 1, 6''
| |
| |36\57
| |
| ''1389; 2, 9''
| |
| |14\22
| |
| ''1400''
| |
| |34\53
| |
| ''1411; 3, 8, 2''
| |
| |20\31
| |
| ''1419; 2, 4, 2''
| |
| |26\40
| |
| ''1430''
| |
| |-
| |
| |し#
| |
| |31\48
| |
| ''1420.8{{Overline|3}}''
| |
| |23\35
| |
| ''1445; 1, 2, 2''
| |
| |38\57
| |
| ''1466.{{Overline|6}}''
| |
| | rowspan="2" |15\22
| |
| ''1500''
| |
| |37\53
| |
| ''1535; 1, 5, 1, 1, 1, 2''
| |
| |22\31
| |
| ''1561; 3, 2, 4''
| |
| |29\40
| |
| ''1595''
| |
| |-
| |
| |て (ちb)
| |
| |33\48
| |
| ''1512.5''
| |
| |24\35
| |
| ''1508; 1, 1, 3''
| |
| |39\57
| |
| ''1505; 3, 1, 4''
| |
| |36\53
| |
| ''1394; 2, 1, 17''
| |
| |21\31
| |
| ''1490; 3, 10''
| |
| |27\40
| |
| ''1485''
| |
| |-
| |
| |ち
| |
| |34\48
| |
| ''1558.{{Overline|3}}''
| |
| |25\35
| |
| ''1571; 2, 3''
| |
| |41\57
| |
| ''1582; 2, 5, 5''
| |
| |16\22
| |
| ''1600''
| |
| |39\53
| |
| ''1618; 1, 6, 1, 1, 3''
| |
| |23\31
| |
| ''1632; 3, 1, 7''
| |
| |30\40
| |
| ''1650''
| |
| |-
| |
| |ち#
| |
| |35\48
| |
| ''1604.1{{Overline|6}}''
| |
| | rowspan="2" |26\35
| |
| ''1633; 3, 2''
| |
| |43\57
| |
| ''1659; 1, 1, 1, 5, 1, 3''
| |
| |17\22
| |
| ''1700''
| |
| |42\53
| |
| 1737; 13, 2
| |
| |25\31
| |
| ''1774; 5, 6''
| |
| |33\40
| |
| ''1815''
| |
| |-
| |
| |ね (にb)
| |
| |36\48
| |
| ''1650''
| |
| |42\57
| |
| ''1621; 19''
| |
| |16\22
| |
| ''1600''
| |
| |38\53
| |
| ''1578; 2, 1, 3, 1, 3''
| |
| |22\31
| |
| ''1561; 3, 2, 4''
| |
| |28\40
| |
| ''1540''
| |
| |-
| |
| |'''に'''
| |
| |'''37\48'''
| |
| '''''1695.8{{Overline|3}}'''''
| |
| |'''27\35'''
| |
| '''''1696; 7'''''
| |
| |'''44\57'''
| |
| '''''1699; 4, 14'''''
| |
| |'''17\22'''
| |
| '''''1700'''''
| |
| |'''41\53'''
| |
| '''''1701; 1, 7, 1, 5'''''
| |
| |'''24\31'''
| |
| '''''1703; 4, 2, 3'''''
| |
| |'''31\40'''
| |
| '''''1705'''''
| |
| |-
| |
| |に#
| |
| |38\48
| |
| ''1741.{{Overline|6}}''
| |
| |28\35
| |
| ''1760''
| |
| |46\57
| |
| ''1775; 2, 3, 1, 1, 3''
| |
| | rowspan="2" |18\22
| |
| ''1800''
| |
| |44\53
| |
| ''1826; 2, 2,, 2, 4''
| |
| |26\31
| |
| ''1845; 5, 6''
| |
| |34\40
| |
| ''1870''
| |
| |-
| |
| |へ (ひb)
| |
| |40\48
| |
| ''1833.{{Overline|3}}''
| |
| |29\35
| |
| ''1822; 1, 6''
| |
| |47\57
| |
| ''1814; 28, 2''
| |
| |43\53
| |
| ''1784; 1, 9, 1, 1, 2''
| |
| |25\31
| |
| ''1774; 6, 5''
| |
| |32\40
| |
| ''1760''
| |
| |-
| |
| |ひ
| |
| |41\48
| |
| ''1879.1{{Overline|6}}''
| |
| |30\35
| |
| ''1885; 1, 2, 2''
| |
| |49\57
| |
| ''1891; 4, 2, 1, 1, 2''
| |
| |19\22
| |
| ''1900''
| |
| |46\53
| |
| ''1909; 2, 3, 3, 2''
| |
| |27\31
| |
| ''1916; 7, 1, 3''
| |
| |35\40
| |
| ''1925''
| |
| |-
| |
| |ひ#
| |
| |42\48
| |
| ''1925''
| |
| |31\35
| |
| ''1948; 1, 1, 3''
| |
| |51\57
| |
| ''1968; 2, 2, 1, 2''
| |
| | rowspan="2" |20\22
| |
| ''2000''
| |
| |49\53
| |
| ''2033; 1, 25, 2''
| |
| |29\31
| |
| ''2058; 15, 2''
| |
| |38\40
| |
| ''2090''
| |
| |-
| |
| |め (みb)
| |
| |44\48
| |
| ''2016.{{Overline|6}}''
| |
| |32\35
| |
| ''2011; 2, 3''
| |
| |52\57
| |
| ''2007; 57''
| |
| |48\53
| |
| ''1992; 2, 4, 1, 4''
| |
| |28\31
| |
| ''1987; 10, 3''
| |
| |36\40
| |
| ''1980''
| |
| |-
| |
| |み
| |
| |45\48
| |
| ''2062.5''
| |
| |33\35
| |
| ''2075; 3, 2''
| |
| |54\57
| |
| 2084; 4, 1, 3
| |
| |21\22
| |
| ''2100''
| |
| |51\53
| |
| ''2116; 1, 52''
| |
| |30\31
| |
| ''2129; 31''
| |
| |39\40
| |
| ''2145''
| |
| |-
| |
| |み#
| |
| |46\48
| |
| ''2108.{{Overline|3}}''
| |
| | rowspan="2" |34\35
| |
| ''2138; 7''
| |
| |56\57
| |
| ''2161; 2, 2, 11''
| |
| |22\22
| |
| ''2200''
| |
| |54\53
| |
| ''2241; 1, 1, 26''
| |
| |32\31
| |
| ''2270; 1, 30''
| |
| |42\40
| |
| ''2310''
| |
| |-
| |
| |こ (くb)
| |
| |47\48
| |
| ''2154.1{{Overline|6}}''
| |
| |55\57
| |
| ''2122; 1, 4, 5, 2''
| |
| |21\22
| |
| ''2100''
| |
| |50\53
| |
| ''2075; 2, 8, 3''
| |
| |29\31
| |
| ''2058; 15, 2''
| |
| |37\40
| |
| ''2035''
| |
| |-
| |
| !く
| |
| ! colspan="7" |''2200''
| |
| |}
| |
|
| |
| == Intervals == | | == Intervals == |
| {| class="wikitable" | | {| class="wikitable" |
Line 1,235: |
Line 378: |
| !Interval category name | | !Interval category name |
| !Generators | | !Generators |
| !Notation of 7/2ish inverse | | !Notation of 7/2 inverse |
| !Interval category name | | !Interval category name |
| |- | | |- |
Line 1,331: |
Line 474: |
| |diminished eleventh | | |diminished eleventh |
| |- | | |- |
| | 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 | | | colspan="6" |The chromatic 22-note MOS (either [[13L 9s (7/2-equivalent)|13L 9s]], [[9L 13s (7/2-equivalent)|9L 13s]] or [[22ed7/2]]) also has these intervals |
| |- | | |- |
| |13 | | |13 |
Line 1,768: |
Line 911: |
| [[Mapping]]: [{{Val|1 1 2}}, {{Val|0 -2 -5}}] | | [[Mapping]]: [{{Val|1 1 2}}, {{Val|0 -2 -5}}] |
|
| |
|
| [[Vals]]: [[22edXIV]], [[31edXIV]], [[40edXIV]], [[49edXIV]] | | [[Vals]]: [[22ed7/2]], [[31ed7/2]], [[40ed7/2]], [[49ed7/2]] |
|
| |
|
| == Scale tree == | | == Scale tree == |
| The spectrum looks like this: | | The spectrum looks like this: |
| {{Scale tree | 9L 4s <7/2>}} | | {{Scale tree | 9L 4s <7/2>}} |