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17L 12s: Difference between revisions

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{{todo|complete table|inline=1|text=populate scale tree with entries}}
{{Infobox MOS
{{Infobox MOS
| nLargeSteps=17
| nLargeSteps=17
| nSmallSteps=12
| nSmallSteps=12
| Equalized=17
| Equalized=17
| Collapsed =10
| Collapsed=10
| Pattern=LLs Ls Ls LLs Ls Ls LLs Ls Ls Ls LLs Ls Ls LLs Ls Ls Ls
| Pattern=LLs Ls Ls LLs Ls Ls LLs Ls Ls Ls LLs Ls Ls LLs Ls Ls Ls
}}
}}
{{MOS intro}}


This MOS, belonging to the Leapday and Grackle temperaments, is generated by taking a chain of 29 fifths tempered 1.49 to 3.93 cents sharp. That is to say, its region includes all linear combinations of [[17edo]] and [[29edo]] and divides at [[80edo]] into [[Margo Schulter]]'s [[gentle region]] extending down to 29edo and a yet-unnamed region extending up to 17edo. Only the latter region will be catalouged here, as cataloguing the former in a second place is inefficient.
This mos, belonging to the [[leapday]] temperament, is generated by taking a chain of 29 fifths tempered 1.49 to 3.93{{c}} sharp. That is to say, its region includes all linear combinations of [[17edo]] and [[29edo]] and divides at [[80edo]] into [[Margo Schulter]]'s [[gentle region]] extending down to 29edo and a yet-unnamed region extending up to 17edo.


{| class="wikitable"
== Scale properties ==
|-
{{TAMNAMS use}}
| | 47/80
| |
| |
| |
| |
| |
| |
| | 705
| | <span style="background-color: #ffffff;">&lt; 80 127 225|</span>
|-
| |
| |
| |
| |
| |
| |
| | 292/497
| | 705.03
| | &lt; 497 789 1395|
|-
| |
| |
| |
| |
| |
| | 245/417
| |
| | 705.036
| | &lt; 417 662 1171|
|-
| |
| |
| |
| |
| |
| |
| | 443/754
| | 705.04
| | &lt; 754 1197 2117|
|-
| |
| |
| |
| |
| | 198/337
| |
| |
| | 705.0445
| | &lt; 337 535 946|
|-
| |
| |
| |
| |
| |
| |
| | 547/931
| | 705.048
| | &lt; 931 1478 2614|
|-
| |
| |
| |
| |
| |
| | 349/594
| |
| | 705 5/99
| | &lt; 594 943 1668|
|-
| |
| |
| |
| |
| |
| |
| | 500/851
| | 705.053
| | &lt; 851 1351 2389|
|-
| |
| |
| |
| | 151/257
| |
| |
| |
| | 705.058
| | &lt; 257 408 721|
|-
| |
| |
| |
| |
| |
| |
| | 557/948
| | 705.063
| | &lt; 948 1505 2661|
|-
| |
| |
| |
| |
| |
| | 406/691
| |
| | 705.065
| | &lt; 691 1095 1940|
|-
| |
| |
| |
| |
| |
| |
| | 661/1125
| | 705.067
| | &lt; 1125 1786 3158|
|-
| |
| |
| |
| |
| | 255/434
| |
| |
| | 705.069
| | &lt; 434 689 1218|
|-
| |
| |
| |
| |
| |
| |
| | 614/1045
| | 705.072
| | &lt; 1045 1659 2934|
|-
| |
| |
| |
| |
| |
| | 359/611
| |
| | 705.074
| | &lt; 611 970 1715|
|-
| |
| |
| |
| |
| |
| |
| | 463/788
| | 705.076
| | &lt; 788 1251 2212|
|-
| |
| |
| | 104/177
| |
| |
| |
| |
| | 705.085
| | &lt; 177 281 497|
|-
| |
| |
| |
| |
| |
| |
| | 473/805
| | 705.093
| | &lt; 805 1278 2260|
|-
| |
| |
| |
| |
| |
| | 369/628
| |
| | 705.0955
| | &lt; 628 997 1763|
|-
| |
| |
| |
| |
| |
| |
| | 634/1079
| | 705.097
| | &lt; 1079 1713 3029|
|-
| |
| |
| |
| |
| | 265/451
| |
| |
| | 705.1
| | &lt; 451 716 1266|
|-
| |
| |
| |
| |
| |
| |
| | 691/1176
| | 705.102
| | &lt; 1176 1867 3301|
|-
| |
| |
| |
| |
| |
| |
| |
| | 705.102
| | &lt; 17 27 48|+


<span style="background-color: #ffffff;">&lt; 80 127 225|*phi</span>
=== Intervals ===
|-
{{MOS intervals}}
| |
| |
| |
| |
| |
| | 426/725
| |
| | 705.103
| | &lt; 725 1151 2035|
|-
| |
| |
| |
| |
| |
| |
| | 587/999
| | 705.105
| | &lt; 999 1586 2805|
|-
| |
| |
| |
| | 161/274
| |
| |
| |
| | 705.1095
| | &lt; 274 435 769|
|-
| |
| |
| |
| |
| |
| |
| | 540/919
| | 705.114
| | &lt; 919 1459 2580|
|-
| |
| |
| |
| |
| |
| | 379/645
| |
| | 705.116
| | &lt; 645 1024 1811|
|-
| |
| |
| |
| |
| |
| |
| | 597/1016
| | 705.118
| | &lt; 1016 1613 2852|
|-
| |
| |
| |
| |
| | 218/371
| |
| |
| | 705.121
| | &lt; 371 589 1042|
|-
| |
| |
| |
| |
| |
| |
| | 493/839
| | 705.125
| | &lt; 839 1332 2355|
|-
| |
| |
| |
| |
| |
| | 275/468
| |
| | 705.128
| | &lt; 468 743 1314|
|-
| |
| |
| |
| |
| |
| |
| | 332/565
| | 705.133
| | &lt; 565 897 1586|
|-
| |
| | 57/97
| |
| |
| |
| |
| |
| | 705.155
| | &lt; 97 154 272|
|-
| |
| |
| |
| |
| |
| |
| | 295/502
| | 705.179
| | &lt; 502 797 1409|
|-
| |
| |
| |
| |
| |
| | 238/405
| |
| | 705.185
| | &lt; 405 643 1137|
|-
| |
| |
| |
| |
| |
| |
| | 419/713
| | 705.189
| | &lt; 713 1132 2002|
|-
| |
| |
| |
| |
| | 181/308
| |
| |
| | 705.195
| | &lt; 308 489 865|
|-
| |
| |
| |
| |
| |
| |
| | 486/827
| | 705.1995
| | &lt; 827 1313 2322|
|-
| |
| |
| |
| |
| |
| | 305/519
| |
| | 705.202
| | &lt; 519 824 1457|
|-
| |
| |
| |
| |
| |
| |
| | 429/730
| | 705.2055
| | &lt; 730 1159 2049|
|-
| |
| |
| |
| | 124/211
| |
| |
| |
| | 705.213
| | &lt; 211 335 592|
|-
| |
| |
| |
| |
| |
| |
| | 439/747
| | 705.221
| | &lt; 747 1186 2097|
|-
| |
| |
| |
| |
| |
| | 315/536
| |
| | 705.224
| | &lt; 536 851 1505|
|-
| |
| |
| |
| |
| |
| |
| | 506/861
| | 705.2265
| | &lt; 861 1367 2417|
|-
| |
| |
| |
| |
| | 191/325
| |
| |
| | 705.231
| | &lt; 325 516 912|
|-
| |
| |
| |
| |
| |
| |
| | 449/764
| | 705.236
| | &lt; 764 1213 2145|
|-
| |
| |
| |
| |
| |
| | 258/439
| |
| | 705.239
| | &lt; 439 697 1232|
|-
| |
| |
| |
| |
| |
| |
| | 325/553
| | 705.244
| | &lt; 553 878 1552|
|-
| |
| |
| | 67/114
| |
| |
| |
| |
| | 705.263
| | &lt; 114 181 320|
|-
| |
| |
| |
| |
| |
| |
| | 278/473
| | 705.285
| | &lt; 473 751 1328|
|-
| |
| |
| |
| |
| |
| | 211/359
| |
| | 705.2925
| | &lt; 359 570 1008|
|-
| |
| |
| |
| |
| |
| |
| | 355/604
| | 705.298
| | &lt; 604 959 1696|
|-
| |
| |
| |
| |
| | 144/245
| |
| |
| | 705.306
| | &lt; 245 389 688|
|-
| |
| |
| |
| |
| |
| |
| | 365/621
| | 705.314
| | &lt; 621 986 1743|
|-
| |
| |
| |
| |
| |
| | 221/376
| |
| | 705.319
| | &lt; 376 597 1056|
|-
| |
| |
| |
| |
| |
| |
| | 298/507
| | 705.325
| | &lt; 507 805 1423|
|-
| |
| |
| |
| | 77/131
| |
| |
| |
| | 705.3435
| | &lt; 131 208 368|
|-
| |
| |
| |
| |
| |
| |
| | 241/410
| | 705.366
| | &lt; 410 651 1151|
|-
| |
| |
| |
| |
| |
| | 164/279
| |
| | 705.376
| | &lt; 279 443 783|
|-
| |
| |
| |
| |
| |
| |
| | 251/427
| | 705.386
| | &lt; 427 678 1199|
|-
| |
| |
| |
| |
| | 87/148
| |
| |
| | 705.405
| | &lt; 148 235 415|
|-
| |
| |
| |
| |
| |
| |
| | 184/313
| | 705.431
| | &lt; 313 495 879|
|-
| |
| |
| |
| |
| |
| | 97/165
| |
| | 705.4545
| | &lt; 165 262 463|
|-
| |
| |
| |
| |
| |
| |
| | 107/182
| | 705.4945
| | &lt; 182 289 511|
|-
| | 10/17
| |
| |
| |
| |
| |
| |
| | 705.882
| | &lt; 17 27 48|
|}


[[Category:29-tone scales]]
=== Generator chain ===
{{MOS genchain}}
 
=== Modes ===
{{MOS mode degrees}}
 
== Scale tree ==
{{MOS tuning spectrum
| 13/8 = Golden neogothic (704.096{{c}})
| 7/4 = [[Polypyth]]
| 5/2 = [[Leapweek]]
| 3/1 = [[Leapfrog]]
}}
Retrieved from "https://en.xen.wiki/w/17L_12s"