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Ploidacot/Tetracot/Generator tunings: Difference between revisions

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For most of its generator range, this MOS is the chromatic scale of the family of temperaments which divide the perfect fifth into four equal parts, thus representing 81:80 (the syntonic comma) by +7 or −13 generators. In fact, this comma, which may be exaggerated until the point where it is 60¢, appears as the difference between the generator and the disjunct tone and as the small step when the generator is flatter than 3/20edo.{{todo|cleanup}}
{{Breadcrumb|Ploidacot|Tetracot}}
 
For most of its generator range, [[7L 6s]], [[7L 13s]], and [[13L 7s]] are the chromatic scales of [[Ploidacot/Tetracot|tetracot]] temperaments. thus finding a small diesis +7 or −13 generators. In fact, this comma, which may be inflated to as much as 60{{c}}, appears as the difference between the generator and the disjunct tone and as the small step when the generator is flatter than 3\20edo.{{todo|cleanup}}
 


{| class="wikitable"
{| class="wikitable"
Line 5: Line 8:
! colspan="3" | Generator
! colspan="3" | Generator
! [[Cent]]s
! [[Cent]]s
! colspan="2" | Syntonic comma
! +7 diesis
! −13 diesis
! Cents
! Cents
! colspan="3" | Generator
! colspan="3" | Generator
|-
|-
| 1/7
| 1\7
|  
|  
|  
|  
Line 17: Line 21:
|  
|  
|  
|  
| 2/13
| 2\13
|-
|-
| 6/41
| 6\41
|  
|  
|  
|  
Line 28: Line 32:
|  
|  
|  
|  
| 9/59
| 9\59
|-
|-
|  
|  
| 23/157
| 23\157
|  
|  
| 175.796
| 175.796
Line 38: Line 42:
| 182.96
| 182.96
|  
|  
| 34/223
| 34\223
|  
|  
|-
|-
|  
|  
| 17/116
| 17\116
|  
|  
| 175.862
| 175.862
Line 49: Line 53:
| 182.927
| 182.927
|  
|  
| 25/164
| 25\164
|  
|  
|-
|-
|  
|  
| 11/75
| 11\75
|  
|  
| 176
| 176
Line 60: Line 64:
| 182.857
| 182.857
|  
|  
| 16/105
| 16\105
|  
|  
|-
|-
|  
|  
| 16/109
| 16\109
|  
|  
| 176.147
| 176.147
Line 71: Line 75:
| 182.7815
| 182.7815
|  
|  
| 23/151
| 23\151
|  
|  
|-
|-
|  
|  
| 21/143
| 21\143
|  
|  
| 176.224
| 176.224
Line 82: Line 86:
| 182.721
| 182.721
|  
|  
| 30/197
| 30\197
|  
|  
|-
|-
|  
|  
| 26/177
| 26\177
|  
|  
| 176.271
| 176.271
Line 93: Line 97:
| 182.741
| 182.741
|  
|  
| 37/243
| 37\243
|  
|  
|-
|-
|  
|  
| 31/211
| 31\211
|  
|  
| 176.303
| 176.303
Line 104: Line 108:
| 182.72
| 182.72
|  
|  
| 44/289
| 44\289
|  
|  
|-
|-
|  
|  
| 36/245
| 36\245
|  
|  
| 176.3265
| 176.3265
Line 115: Line 119:
| 182.687
| 182.687
|  
|  
| 51/335
| 51\335
|  
|  
|-
|-
Line 129: Line 133:
|  
|  
|-
|-
| 5/34
| 5\34
|  
|  
|  
|  
Line 138: Line 142:
|  
|  
|  
|  
| 7/46
| 7\46
|-
|-
|  
|  
| 24/163
| 24\163
|  
|  
| 176.687
| 176.687
Line 148: Line 152:
| 182.4885
| 182.4885
|  
|  
| 33/217
| 33\217
|  
|  
|-
|-
|  
|  
| 19/129
| 19\129
|  
|  
| 176.744
| 176.744
Line 159: Line 163:
| 182.456
| 182.456
|  
|  
| 26/171
| 26\171
|  
|  
|-
|-
Line 174: Line 178:
|-
|-
|  
|  
| 14/95
| 14\95
|  
|  
| 176.842
| 176.842
Line 181: Line 185:
| 182.4
| 182.4
|  
|  
| 19/125
| 19\125
|  
|  
|-
|-
Line 197: Line 201:
|  
|  
|  
|  
| 23/156
| 23\156
| 176.923
| 176.923
| 38.4615
| 38.4615
| 29.412
| 29.412
| 182.353
| 182.353
| 31/204
| 31\204
|  
|  
|  
|  
|-
|-
|  
|  
| 9/61
| 9\61
|  
|  
| 177.049
| 177.049
Line 214: Line 218:
| 182.2875
| 182.2875
|  
|  
| 12/79
| 12\79
|  
|  
|-
|-
|  
|  
|  
|  
| 22/149
| 22\149
| 177.181
| 177.181
| 40.2685
| 40.2685
| 31.414
| 31.414
| 182.199
| 182.199
| 29/191
| 29\191
|  
|  
|  
|  
|-
|-
|  
|  
| 13/88
| 13\88
|  
|  
| 177.273
| 177.273
Line 236: Line 240:
| 182.143
| 182.143
|  
|  
| 17/112
| 17\112
|  
|  
|-
|-
|  
|  
| 17/115
| 17\115
|  
|  
| 177.391
| 177.391
Line 247: Line 251:
| 182.069
| 182.069
|  
|  
| 22/145
| 22\145
|  
|  
|-
|-
|  
|  
| 21/142
| 21\142
|  
|  
| 177.465
| 177.465
Line 258: Line 262:
| 182.0225
| 182.0225
|  
|  
| 27/178
| 27\178
|  
|  
|-
|-
|  
|  
| 25/169
| 25\169
|  
|  
| 177.515
| 177.515
Line 269: Line 273:
| 181.9905
| 181.9905
|  
|  
| 32/211
| 32\211
|  
|  
|-
|-
|  
|  
| 29/196
| 29\196
|  
|  
| 177.551
| 177.551
Line 280: Line 284:
| 181.967
| 181.967
|  
|  
| 37/244
| 37\244
|  
|  
|-
|-
Line 295: Line 299:
|-
|-
|  
|  
| 33/223
| 33\223
|  
|  
| 177.5785
| 177.5785
Line 302: Line 306:
| 181.9495
| 181.9495
|  
|  
| 42/277
| 42\277
|  
|  
|-
|-
|  
|  
| 37/250
| 37\250
|  
|  
| 177.6
| 177.6
Line 313: Line 317:
| 181.9355
| 181.9355
|  
|  
| 47/310
| 47\310
|  
|  
|-
|-
|  
|  
| 41/277
| 41\277
|  
|  
| 177.617
| 177.617
Line 324: Line 328:
| 181.924
| 181.924
|  
|  
| 52/343
| 52\343
|  
|  
|-
|-
|  
|  
| 45/304
| 45\304
|  
|  
| 177.632
| 177.632
Line 335: Line 339:
| 181.915
| 181.915
|  
|  
| 57/376
| 57\376
|  
|  
|-
|-
| 4/27
| 4\27
|  
|  
|  
|  
Line 347: Line 351:
|  
|  
|  
|  
| 5/33
| 5\33
|-
|-
|  
|  
| 39/263
| 39\263
|  
|  
| 177.947
| 177.947
Line 357: Line 361:
| 181.7035
| 181.7035
|  
|  
| 48/317
| 48\317
|  
|  
|-
|-
|  
|  
| 35/236
| 35\236
|  
|  
| 177.966
| 177.966
Line 368: Line 372:
| 181.69
| 181.69
|  
|  
| 43/284
| 43\284
|  
|  
|-
|-
|  
|  
| 31/209
| 31\209
|  
|  
| 177.99
| 177.99
Line 379: Line 383:
| 181.673
| 181.673
|  
|  
| 38/251
| 38\251
|  
|  
|-
|-
|  
|  
| 27/182
| 27\182
|  
|  
| 178.022
| 178.022
Line 390: Line 394:
| 181.651
| 181.651
|  
|  
| 33/218
| 33\218
|  
|  
|-
|-
|  
|  
| 23/155
| 23\155
|  
|  
| 178.0645
| 178.0645
Line 401: Line 405:
| 181.621
| 181.621
|  
|  
| 28/185
| 28\185
|  
|  
|-
|-
|  
|  
| 19/128
| 19\128
|  
|  
| 178.125
| 178.125
Line 412: Line 416:
| 181.579
| 181.579
|  
|  
| 23/152
| 23\152
|  
|  
|-
|-
|  
|  
| 15/101
| 15\101
|  
|  
| 178.218
| 178.218
Line 423: Line 427:
| 181.513
| 181.513
|  
|  
| 18/119
| 18\119
|  
|  
|-
|-
Line 438: Line 442:
|-
|-
|  
|  
| 11/74
| 11\74
|  
|  
| 178.378
| 178.378
Line 445: Line 449:
| 181.395
| 181.395
|  
|  
| 13/86
| 13\86
|  
|  
|-
|-
|  
|  
|  
|  
| 29/195
| 29\195
| 178.4615
| 178.4615
| 49.231
| 49.231
| 42.667
| 42.667
| 181.333
| 181.333
| 34/225
| 34\225
|  
|  
|  
|  
Line 471: Line 475:
|-
|-
|  
|  
| 18/121
| 18\121
|  
|  
| 178.512
| 178.512
Line 478: Line 482:
| 181.295
| 181.295
|  
|  
| 21/139
| 21\139
|  
|  
|-
|-
|  
|  
| 25/168
| 25\168
|  
|  
| 178.571
| 178.571
Line 489: Line 493:
| 181.25
| 181.25
|  
|  
| 29/192
| 29\192
|  
|  
|-
|-
Line 504: Line 508:
|-
|-
|  
|  
| 32/215
| 32\215
|  
|  
| 178.605
| 178.605
Line 511: Line 515:
| 181.2245
| 181.2245
|  
|  
| 37/245
| 37\245
|  
|  
|-
|-
| 7/47
| 7\47
|  
|  
|  
|  
Line 523: Line 527:
|  
|  
|  
|  
| 8/53
| 8\53
|-
|-
|  
|  
| 24/161
| 24\161
|  
|  
| 178.882
| 178.882
Line 533: Line 537:
| 181.006
| 181.006
|  
|  
| 27/179
| 27\179
|  
|  
|-
|-
|  
|  
| 17/114
| 17\114
|  
|  
| 178.947
| 178.947
Line 544: Line 548:
| 180.952
| 180.952
|  
|  
| 19/126
| 19\126
|  
|  
|-
|-
|  
|  
| 27/181
| 27\181
|  
|  
| 179.0055
| 179.0055
Line 555: Line 559:
| 180.814
| 180.814
|  
|  
| 30/199
| 30\199
|  
|  
|-
|-
| 10/67
| 10\67
|  
|  
|  
|  
Line 567: Line 571:
|  
|  
|  
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| 11/73
| 11\73
|-
|-
|  
|  
| 23/154
| 23\154
|  
|  
| 179.221
| 179.221
Line 577: Line 581:
| 180.506
| 180.506
|  
|  
| 25/166
| 25\166
|  
|  
|-
|-
| 13/87
| 13\87
|  
|  
|  
|  
Line 589: Line 593:
|  
|  
|  
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| 14/93
| 14\93
|-
|-
| 3/20
| 3\20
|  
|  
|  
|  
Line 599: Line 603:
|  
|  
|  
|  
| 3/20
| 3\20
|}
|}


[[Category:Abstract MOS patterns]]
[[Category:Abstract MOS patterns]]
Retrieved from "https://en.xen.wiki/w/Ploidacot/Tetracot/Generator_tunings"