8L 1s: Difference between revisions

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m unified precision, changed notation a/b to a\b
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This MOS has a generator between 1/9edo (133 1/3 cents) and 1/8edo (150 cents). It thus generates a scale similar to nonatonic Indonesian gamelan scales (i.e. [http://www.neuroscience-of-music.se/pelog_main.htm Pelog] and Slendro plus 4 of the 12 microtonal adjustments from the theories of Sundanese composer-muiscologist-teacher [http://en.wikipedia.org/wiki/Raden_Machjar_Angga_Koesoemadinata Raden Machjar Angga Koesoemadinata] or a median between the two) with a generator narrower than 2/17edo and a largely-unknown scale family with a wider generator.
This MOS has a generator between 1\9edo (133 1/3 cents) and 1\8edo (150 cents). It thus generates a scale similar to nonatonic Indonesian gamelan scales (i.e. [http://www.neuroscience-of-music.se/pelog_main.htm Pelog] and Slendro plus 4 of the 12 microtonal adjustments from the theories of Sundanese composer-muiscologist-teacher [http://en.wikipedia.org/wiki/Raden_Machjar_Angga_Koesoemadinata Raden Machjar Angga Koesoemadinata] or a median between the two) with a generator narrower than 2\17edo, and a largely-unknown scale family with a wider generator.


{| class="wikitable"
{| class="wikitable"
|-
|-
! colspan="5" | Generator
! colspan="7" | Generator
! |
! |
! | Cents
! | Cents
! | Comments
! | Comments
|-
|-
| | 1/9
| | 1\9
| |  
| |  
| |  
| |  
Line 17: Line 15:
| |  
| |  
| | 133.333
| | 133.333
| style="text-align:center;" |  
| style="text-align:center;" | L/s = 1
|-
|-
| |  
| |  
Line 25: Line 23:
| |  
| |  
| |  
| |  
| | 8/71
| | 8\71
| | 135.211
| | 135.211
| |  
| |  
Line 34: Line 32:
| |  
| |  
| |  
| |  
| | 7/62
| | 7\62
| |  
| |  
| | 135.484
| | 135.484
Line 45: Line 43:
| |  
| |  
| |  
| |  
| | 13/115
| | 13\115
| | 135.652
| | 135.652
| |  
| |  
Line 53: Line 51:
| |  
| |  
| |  
| |  
| | 6/53
| | 6\53
| |  
| |  
| |  
| |  
Line 65: Line 63:
| |  
| |  
| |  
| |  
| | 17/150
| | 17\150
| | 136
| | 136.000
| |  
| |  
|-
|-
Line 74: Line 72:
| |  
| |  
| |  
| |  
| | 11/97
| | 11\97
| |  
| |  
| | 136.082
| | 136.082
Line 85: Line 83:
| |  
| |  
| |  
| |  
| | 16/141
| | 16\141
| | 136.17
| | 136.170
| |  
| |  
|-
|-
Line 92: Line 90:
| |  
| |  
| |  
| |  
| | 5/44
| | 5\44
| |  
| |  
| |  
| |  
Line 105: Line 103:
| |  
| |  
| |  
| |  
| | 19/167
| | 19\167
| | 136.527
| | 136.527
| |  
| |  
Line 114: Line 112:
| |  
| |  
| |  
| |  
| | 14/123
| | 14\123
| |  
| |  
| | 136.585
| | 136.585
Line 125: Line 123:
| |  
| |  
| |  
| |  
| | 23/202
| | 23\202
| | 136.634
| | 136.634
| |  
| |  
Line 133: Line 131:
| |  
| |  
| |  
| |  
| | 9/79
| | 9\79
| |  
| |  
| |  
| |  
Line 145: Line 143:
| |  
| |  
| |  
| |  
| | 22/193
| | 22\193
| | 136.788
| | 136.788
| |  
| |  
Line 154: Line 152:
| |  
| |  
| |  
| |  
| | 13/114
| | 13\114
| |  
| |  
| | 136.842
| | 136.842
Line 165: Line 163:
| |  
| |  
| |  
| |  
| | 17/149
| | 17\149
| | 136.913
| | 136.913
| |  
| |  
Line 171: Line 169:
| |  
| |  
| |  
| |  
| | 4/35
| | 4\35
| |  
| |  
| |  
| |  
Line 185: Line 183:
| |  
| |  
| |  
| |  
| | 19/166
| | 19\166
| | 137.349
| | 137.349
| |  
| |  
Line 194: Line 192:
| |  
| |  
| |  
| |  
| | 15/131
| | 15\131
| |  
| |  
| | 137.4045
| | 137.405
| |  
| |  
|-
|-
Line 205: Line 203:
| |  
| |  
| |  
| |  
| | 26/227
| | 26\227
| | 137.445
| | 137.445
| |  
| |  
Line 213: Line 211:
| |  
| |  
| |  
| |  
| | 11/96
| | 11\96
| |  
| |  
| |  
| |  
| | 137.5
| | 137.500
| |  
| |  
|-
|-
Line 225: Line 223:
| |  
| |  
| |  
| |  
| | 29/253
| | 29\253
| | 137.549
| | 137.549
| |  
| |  
Line 234: Line 232:
| |  
| |  
| |  
| |  
| | 18/157
| | 18\157
| |  
| |  
| | 137.58
| | 137.580
| |  
| |  
|-
|-
Line 245: Line 243:
| |  
| |  
| |  
| |  
| | 25/218
| | 25\218
| | 134.615
| | 134.615
| |  
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Line 252: Line 250:
| |  
| |  
| |  
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| | 7/61
| | 7\61
| |  
| |  
| |  
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Line 265: Line 263:
| |  
| |  
| |  
| |  
| | 24/209
| | 24\209
| | 137.799
| | 137.799
| |  
| |  
Line 274: Line 272:
| |  
| |  
| |  
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| | 17/148
| | 17\148
| |  
| |  
| | 137.838
| | 137.838
Line 285: Line 283:
| |  
| |  
| |  
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| | 27/235
| | 27\235
| | 137.872
| | 137.872
| |  
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Line 293: Line 291:
| |  
| |  
| |  
| |  
| | 10/87
| | 10\87
| |  
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Line 305: Line 303:
| |  
| |  
| |  
| |  
| | 23/200
| | 23\200
| | 138
| | 138.000
| |  
| |  
|-
|-
Line 314: Line 312:
| |  
| |  
| |  
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| | 13/113
| | 13\113
| |  
| |  
| | 138.053
| | 138.053
Line 325: Line 323:
| |  
| |  
| |  
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| | 16/139
| | 16\139
| | 138.1295
| | 138.130
| |  
| |  
|-
|-
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| |  
| | 3/26
| | 3\26
| |  
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Line 337: Line 335:
| |  
| |  
| | 138.462
| | 138.462
| style="text-align:center;" |  
| style="text-align:center;" | L/s = 1.5
|-
|-
| |  
| |  
Line 345: Line 343:
| |  
| |  
| |  
| |  
| | 17/147
| | 17\147
| | 138.7755
| | 138.776
| |  
| |  
|-
|-
Line 354: Line 352:
| |  
| |  
| |  
| |  
| | 14/121
| | 14\121
| |  
| |  
| | 138.843
| | 138.843
Line 365: Line 363:
| |  
| |  
| |  
| |  
| | 25/216
| | 25\216
| | 138.889
| | 138.889
| |  
| |  
Line 383: Line 381:
| |  
| |  
| |  
| |  
| | 11/95
| | 11\95
| |  
| |  
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Line 395: Line 393:
| |  
| |  
| |  
| |  
| | 30/259
| | 30\259
| | 138.996
| | 138.996
| |  
| |  
Line 404: Line 402:
| |  
| |  
| |  
| |  
| | 19/164
| | 19\164
| |  
| |  
| | 139.024
| | 139.024
Line 415: Line 413:
| |  
| |  
| |  
| |  
| | 27/233
| | 27\233
| | 139.056
| | 139.056
| |  
| |  
Line 422: Line 420:
| |  
| |  
| |  
| |  
| | 8/69
| | 8\69
| |  
| |  
| |  
| |  
Line 435: Line 433:
| |  
| |  
| |  
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| | 29/250
| | 29\250
| | 139.2
| | 139.200
| |  
| |  
|-
|-
Line 444: Line 442:
| |  
| |  
| |  
| |  
| | 21/181
| | 21\181
| |  
| |  
| | 139.2265
| | 139.227
| |  
| |  
|-
|-
Line 465: Line 463:
| |  
| |  
| |  
| |  
| | 34/249
| | 34\249
| | 139.249
| | 139.249
| |  
| |  
Line 473: Line 471:
| |  
| |  
| |  
| |  
| | 13/112
| | 13\112
| |  
| |  
| |  
| |  
Line 485: Line 483:
| |  
| |  
| |  
| |  
| | 31/267
| | 31\267
| | 139.326
| | 139.326
| |  
| |  
Line 494: Line 492:
| |  
| |  
| |  
| |  
| | 18/155
| | 18\155
| |  
| |  
| | 139.355
| | 139.355
Line 505: Line 503:
| |  
| |  
| |  
| |  
| | 23/198
| | 23\198
| | 139.394
| | 139.394
| |  
| |  
Line 511: Line 509:
| |  
| |  
| |  
| |  
| | 5/43
| | 5\43
| |  
| |  
| |  
| |  
Line 525: Line 523:
| |  
| |  
| |  
| |  
| | 22/189
| | 22\189
| | 139.6825
| | 139.683
| |  
| |  
|-
|-
Line 534: Line 532:
| |  
| |  
| |  
| |  
| | 17/146
| | 17\146
| |  
| |  
| | 139.726
| | 139.726
Line 545: Line 543:
| |  
| |  
| |  
| |  
| | 29/249
| | 29\249
| | 139.759
| | 139.759
| |  
| |  
Line 553: Line 551:
| |  
| |  
| |  
| |  
| | 12/103
| | 12\103
| |  
| |  
| |  
| |  
Line 565: Line 563:
| |  
| |  
| |  
| |  
| | 31/266
| | 31\266
| | 139.85
| | 139.850
| |  
| |  
|-
|-
Line 574: Line 572:
| |  
| |  
| |  
| |  
| | 19/163
| | 19\163
| |  
| |  
| | 139.877
| | 139.877
Line 595: Line 593:
| |  
| |  
| |  
| |  
| | 26/223
| | 26\223
| | 139.91
| | 139.910
| |  
| |  
|-
|-
Line 602: Line 600:
| |  
| |  
| |  
| |  
| | 7/60
| | 7\60
| |  
| |  
| |  
| |  
| |  
| |  
| | 140
| | 140.000
| style="text-align:center;" | Bleu is around here
| style="text-align:center;" | Bleu is around here
|-
|-
Line 615: Line 613:
| |  
| |  
| |  
| |  
| | 23/197
| | 23\197
| | 140.1015
| | 140.102
| |  
| |  
|-
|-
Line 624: Line 622:
| |  
| |  
| |  
| |  
| | 16/137
| | 16\137
| |  
| |  
| | 140.146
| | 140.146
Line 635: Line 633:
| |  
| |  
| |  
| |  
| | 25/214
| | 25\214
| | 140.187
| | 140.187
| |  
| |  
Line 643: Line 641:
| |  
| |  
| |  
| |  
| | 9/77
| | 9\77
| |  
| |  
| |  
| |  
| | 140.26
| | 140.260
| | Tsaharuk is between here…
| | Tsaharuk is between here…
|-
|-
Line 655: Line 653:
| |  
| |  
| |  
| |  
| | 20/171
| | 20\171
| | 140.351
| | 140.351
| |  
| |  
Line 664: Line 662:
| |  
| |  
| |  
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| | 11/94
| | 11\94
| |  
| |  
| | 140.4255
| | 140.426
| style="text-align:center;" | …and here
| style="text-align:center;" | …and here


Line 677: Line 675:
| |  
| |  
| |  
| |  
| | 13/111
| | 13\111
| | 140.5405
| | 140.541
| style="text-align:center;" | …and here
| style="text-align:center;" | …and here
|-
|-
| | 2/17
| | 2\17
| |  
| |  
| |  
| |  
Line 689: Line 687:
| |  
| |  
| | 141.176
| | 141.176
| style="text-align:center;" |  
| style="text-align:center;" | L/s = 2
|-
|-
| |  
| |  
Line 697: Line 695:
| |  
| |  
| |  
| |  
| | 13/110
| | 13\110
| | 141.818
| | 141.818
| |  
| |  
Line 706: Line 704:
| |  
| |  
| |  
| |  
| | 11/93
| | 11\93
| |  
| |  
| | 141.9355
| | 141.936
| |  
| |  
|-
|-
Line 717: Line 715:
| |  
| |  
| |  
| |  
| | 20/169
| | 20\169
| | 142.012
| | 142.012
| |  
| |  
Line 725: Line 723:
| |  
| |  
| |  
| |  
| | 9/76
| | 9\76
| |  
| |  
| |  
| |  
Line 737: Line 735:
| |  
| |  
| |  
| |  
| | 25/211
| | 25\211
| | 142.18
| | 142.180
| |  
| |  
|-
|-
Line 746: Line 744:
| |  
| |  
| |  
| |  
| | 16/135
| | 16\135
| |  
| |  
| | 142.222
| | 142.222
Line 757: Line 755:
| |  
| |  
| |  
| |  
| | 23/194
| | 23\194
| | 142.268
| | 142.268
| |  
| |  
Line 764: Line 762:
| |  
| |  
| |  
| |  
| | 7/59
| | 7\59
| |  
| |  
| |  
| |  
Line 777: Line 775:
| |  
| |  
| |  
| |  
| | 26/219
| | 26\219
| | 142.466
| | 142.466
| |  
| |  
Line 786: Line 784:
| |  
| |  
| |  
| |  
| | 19/160
| | 19\160
| |  
| |  
| | 142.5
| | 142.500
| |  
| |  
|-
|-
Line 797: Line 795:
| |  
| |  
| |  
| |  
| | 31/261
| | 31\261
| | 142.529
| | 142.529
| |  
| |  
Line 805: Line 803:
| |  
| |  
| |  
| |  
| | 12/101
| | 12\101
| |  
| |  
| |  
| |  
Line 817: Line 815:
| |  
| |  
| |  
| |  
| | 29/244
| | 29\244
| | 142.623
| | 142.623
| |  
| |  
Line 826: Line 824:
| |  
| |  
| |  
| |  
| | 17/143
| | 17\143
| |  
| |  
| | 142.657
| | 142.657
Line 837: Line 835:
| |  
| |  
| |  
| |  
| | 22/185
| | 22\185
| | 142.703
| | 142.703
| |  
| |  
Line 843: Line 841:
| |  
| |  
| |  
| |  
| | 5/42
| | 5\42
| |  
| |  
| |  
| |  
Line 857: Line 855:
| |  
| |  
| |  
| |  
| | 23/193
| | 23\193
| | 143.005
| | 143.005
| |  
| |  
Line 866: Line 864:
| |  
| |  
| |  
| |  
| | 18/151
| | 18\151
| |  
| |  
| | 143.046
| | 143.046
Line 877: Line 875:
| |  
| |  
| |  
| |  
| | 31/260
| | 31\260
| | 143.077
| | 143.077
| |  
| |  
Line 885: Line 883:
| |  
| |  
| |  
| |  
| | 13/109
| | 13\109
| |  
| |  
| |  
| |  
Line 897: Line 895:
| |  
| |  
| |  
| |  
| | 34/285
| | 34\285
| | 143.158
| | 143.158
| |  
| |  
Line 916: Line 914:
| |  
| |  
| |  
| |  
| | 21/176
| | 21\176
| |  
| |  
| | 143.182
| | 143.182
Line 927: Line 925:
| |  
| |  
| |  
| |  
| | 29/243
| | 29\243
| | 143.21
| | 143.210
| |  
| |  
|-
|-
Line 934: Line 932:
| |  
| |  
| |  
| |  
| | 8/67
| | 8\67
| |  
| |  
| |  
| |  
Line 947: Line 945:
| |  
| |  
| |  
| |  
| | 27/226
| | 27\226
| | 143.363
| | 143.363
| |  
| |  
Line 956: Line 954:
| |  
| |  
| |  
| |  
| | 19/159
| | 19\159
| |  
| |  
| | 143.396
| | 143.396
Line 968: Line 966:
| |  
| |  
| |  
| |  
| | 143.4055
| | 143.406
| style="text-align:center;" | L/s = e
| style="text-align:center;" | L/s = e
|-
|-
Line 977: Line 975:
| |  
| |  
| |  
| |  
| | 30/251
| | 30\251
| | 143.426
| | 143.426
| |  
| |  
Line 985: Line 983:
| |  
| |  
| |  
| |  
| | 11/92
| | 11\92
| |  
| |  
| |  
| |  
Line 997: Line 995:
| |  
| |  
| |  
| |  
| | 25/209
| | 25\209
| | 143.541
| | 143.541
| |  
| |  
Line 1,006: Line 1,004:
| |  
| |  
| |  
| |  
| | 14/117
| | 14\117
| |  
| |  
| | 143.59
| | 143.590
| |  
| |  
|-
|-
Line 1,017: Line 1,015:
| |  
| |  
| |  
| |  
| | 17/142
| | 17\142
| | 143.662
| | 143.662
| |  
| |  
|-
|-
| |  
| |  
| | 3/25
| | 3\25
| |  
| |  
| |  
| |  
Line 1,028: Line 1,026:
| |  
| |  
| |  
| |  
| | 144
| | 144.000
| style="text-align:center;" | L/s = 3
| style="text-align:center;" | L/s = 3
|-
|-
Line 1,038: Line 1,036:
| |  
| |  
| |  
| |  
| | 144.26
| | 144.260
| style="text-align:center;" | L/s = pi
| style="text-align:center;" | L/s = pi
|-
|-
Line 1,047: Line 1,045:
| |  
| |  
| |  
| |  
| | 16/133
| | 16\133
| | 144.361
| | 144.361
| |  
| |  
Line 1,056: Line 1,054:
| |  
| |  
| |  
| |  
| | 13/108
| | 13\108
| |  
| |  
| | 144.444
| | 144.444
Line 1,067: Line 1,065:
| |  
| |  
| |  
| |  
| | 23/191
| | 23\191
| | 144.503
| | 144.503
| |  
| |  
Line 1,075: Line 1,073:
| |  
| |  
| |  
| |  
| | 10/83
| | 10\83
| |  
| |  
| |  
| |  
Line 1,087: Line 1,085:
| |  
| |  
| |  
| |  
| | 27/224
| | 27\224
| | 144.643
| | 144.643
| |  
| |  
Line 1,096: Line 1,094:
| |  
| |  
| |  
| |  
| | 17/141
| | 17\141
| |  
| |  
| | 144.681
| | 144.681
Line 1,107: Line 1,105:
| |  
| |  
| |  
| |  
| | 24/199
| | 24\199
| | 144.724
| | 144.724
| |  
| |  
Line 1,114: Line 1,112:
| |  
| |  
| |  
| |  
| | 7/58
| | 7\58
| |  
| |  
| |  
| |  
Line 1,127: Line 1,125:
| |  
| |  
| |  
| |  
| | 25/207
| | 25\207
| | 144.9275
| | 144.928
| |  
| |  
|-
|-
Line 1,136: Line 1,134:
| |  
| |  
| |  
| |  
| | 18/149
| | 18\149
| |  
| |  
| | 144.966
| | 144.966
Line 1,147: Line 1,145:
| |  
| |  
| |  
| |  
| | 29/240
| | 29\240
| | 145
| | 145.000
| |  
| |  
|-
|-
Line 1,155: Line 1,153:
| |  
| |  
| |  
| |  
| | 11/91
| | 11\91
| |  
| |  
| |  
| |  
Line 1,167: Line 1,165:
| |  
| |  
| |  
| |  
| | 26/215
| | 26\215
| | 145.116
| | 145.116
| |  
| |  
Line 1,176: Line 1,174:
| |  
| |  
| |  
| |  
| | 15/124
| | 15\124
| |  
| |  
| | 145.161
| | 145.161
Line 1,187: Line 1,185:
| |  
| |  
| |  
| |  
| | 19/157
| | 19\157
| | 145.223
| | 145.223
| |  
| |  
Line 1,193: Line 1,191:
| |  
| |  
| |  
| |  
| | 4/33
| | 4\33
| |  
| |  
| |  
| |  
| |  
| |  
| |  
| |  
| | 145.4545
| | 145.455
| style="text-align:center;" | L/s = 4
| style="text-align:center;" | L/s = 4
|-
|-
Line 1,207: Line 1,205:
| |  
| |  
| |  
| |  
| | 13/107
| | 13\107
| | 145.794
| | 145.794
| |  
| |  
Line 1,216: Line 1,214:
| |  
| |  
| |  
| |  
| | 9/74
| | 9\74
| |  
| |  
| | 145.946
| | 145.946
Line 1,227: Line 1,225:
| |  
| |  
| |  
| |  
| | 14/115
| | 14\115
| | 146.087
| | 146.087
| |  
| |  
Line 1,234: Line 1,232:
| |  
| |  
| |  
| |  
| | 5/41
| | 5\41
| |  
| |  
| |  
| |  
Line 1,247: Line 1,245:
| |  
| |  
| |  
| |  
| | 16/131
| | 16\131
| | 146.565
| | 146.565
| |  
| |  
Line 1,256: Line 1,254:
| |  
| |  
| |  
| |  
| | 11/90
| | 11\90
| |  
| |  
| | 146.667
| | 146.667
Line 1,267: Line 1,265:
| |  
| |  
| |  
| |  
| | 17/139
| | 17\139
| | 146.763
| | 146.763
| |  
| |  
Line 1,275: Line 1,273:
| |  
| |  
| |  
| |  
| | 6/49
| | 6\49
| |  
| |  
| |  
| |  
Line 1,287: Line 1,285:
| |  
| |  
| |  
| |  
| | 13/106
| | 13\106
| | 147.17
| | 147.170
| |  
| |  
|-
|-
Line 1,296: Line 1,294:
| |  
| |  
| |  
| |  
| | 7/57
| | 7\57
| |  
| |  
| | 147.368
| | 147.368
Line 1,307: Line 1,305:
| |  
| |  
| |  
| |  
| | 8/65
| | 8\65
| | 147.692
| | 147.692
| |  
| |  
|-
|-
| | 1/8
| | 1\8
| |  
| |  
| |  
| |  
Line 1,318: Line 1,316:
| |  
| |  
| |  
| |  
| | 150
| | 150.000
| style="text-align:center;" |  
| style="text-align:center;" |  
|}
|}
[[Category:todo:correct_notation]]
[[Category:todo:unify_precision]]