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4L 9s: Difference between revisions

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This MOS is the chromatic scale of Huxley, Lovecraft and gariberttet temperaments. The harmonic entropy minimum for this pattern is the point where +2g, +3g and +5g approximate 7/5, 5/3 and 7/3.
{{Infobox MOS}}
{{MOS intro}}
 
4L 9s represents [[Chromatic pairs|chromatic scales]] of [[Huxley]], [[Lovecraft|Lovecraft]], [[gariberttet]], and [[subklei]] temperaments. The harmonic entropy minimum for this pattern maps +2, +3, and +5 bright generators to [[7/5]], [[5/3]], and [[7/3]], respectively, which is the mapping corresponding to [[gariberttet]] (tempering out [[3125/3087]]) and its extensions such as [[quasitemp]] and [[kleiboh]]. [[User:Lériendil|Lériendil]] has proposed the name '''paragonic''' for this scale.
 
== Scale properties ==
{{TAMNAMS use}}
 
=== Intervals ===
{{MOS intervals}}
 
=== Generator chain ===
{{MOS genchain}}
 
=== Modes ===
{{MOS mode degrees}}
 
== Scale tree ==
{{MOS tuning spectrum}}
 
{{todo|expand}}


{| class="wikitable"
|-
! colspan="3" | Generator
! | 2g
! | 3g
! | 5g
|-
| | 3/13
| |
| |
| | 553.864
| | 830.769
| | 1384.615
|-
| | 13/56
| |
| |
| | 557.143
| | 835.714
| | 1392.857
|-
| | 10/43
| |
| |
| | 558.1395
| | 837.209
| | 1395.4485
|-
| |
| | 27/116
| |
| | 558.621
| | 837.931
| | 1396.552
|-
| |
| | 17/73
| |
| | 558.904
| | 838.356
| | 1397.26
|-
| |
| | 24/103
| |
| | 559.223
| | 838.835
| | 1398.058
|-
| |
| | 45/193
| |
| | 559.5855
| | 839.378
| | 1398.964
|-
| |
| | 52/223
| |
| | 559.641
| | 839.462
| | 1399.103
|-
| | 7/30
| |
| |
| | 560
| | 840
| | 1400
|-
| |
| |
| |
| | 560.741
| | 841.112
| | 1401.853
|-
| |
| | 25/107
| |
| | 560.748
| | 841.1215
| | 1401.869
|-
| |
| |
| | 68/291
| | 560.825
| | 841.237
| | 1402.061
|-
| |
| |
| | 43/184
| | 560.87
| | 841.304
| | 1402.174
|-
| |
| | 18/77
| |
| | 561.039
| | 841.558
| | 1402.597
|-
| |
| |
| |
| | 561.221
| | 841.831
| | 1403.0515
|-
| |
| |
| | 29/124
| | 561.29
| | 841.9355
| | 1403.226
|-
| |
| | 11/47
| |
| | 561.702
| | 842.053
| | 1404.755
|-
| |
| |
| | 26/111
| | 562.162
| | 843.243
| | 1405.495
|-
| |
| |
| |
| | 562.331
| | 843.4965
| | 1405.827
|-
| |
| | 15/64
| |
| | 562.5
| | 843.75
| | 1406.25
|-
| |
| | 19/81
| |
| | 562.963
| | 844.444
| | 1407.407
|-
| |
| | 23/98
| |
| | 563.266
| | 844.898
| | 1408.163
|-
| |
| | 27/115
| |
| | 563.478
| | 845.217
| | 1408.696
|-
| |
| | 31/132
| |
| | 563.636
| | 845.4545
| | 1409.091
|-
| |
| | 35/149
| |
| | 563.758
| | 845.638
| | 1409.396
|-
| |
| | 39/166
| |
| | 563.855
| | 845.783
| | 1409.639
|-
| |
| | 43/183
| |
| | 563.934
| | 845.902
| | 1409.836
|-
| |
| | 47/200
| |
| | 564
| | 846
| | 1410
|-
| | 4/17
| |
| |
| | 564.706
| | 847.059
| | 1411.765
|-
| |
| | 69/293
| |
| | 565.188
| | 847.729
| | 1412.904
|-
| |
| | 65/276
| |
| | 565.217
| | 847.826
| | 1413.0435
|-
| |
| | 61/259
| |
| | 565.251
| | 847.877
| | 1413.127
|-
| |
| | 57/242
| |
| | 565.289
| | 847.934
| | 1413.223
|-
| |
| | 53/225
| |
| | 565.333
| | 848
| | 1413.333
|-
| |
| | 49/208
| |
| | 565.385
| | 848.077
| | 1413.4615
|-
| |
| | 45/191
| |
| | 565.445
| | 848.1675
| | 1413.616
|-
| |
| | 41/174
| |
| | 565.517
| | 848.276
| | 1413.793
|-
| |
| | 37/157
| |
| | 565.605
| | 848.408
| | 1414.013
|-
| |
| | 33/140
| |
| | 565.714
| | 848.571
| | 1414.296
|-
| |
| | 29/123
| |
| | 565.854
| | 848.7805
| | 1414.634
|-
| |
| | 25/106
| |
| | 566.038
| | 849.057
| | 1415.094
|-
| |
| | 21/89
| |
| | 566.292
| | 849.438
| | 1415.73
|-
| |
| | 17/72
| |
| | 566.667
| | 850
| | 1416.667
|-
| |
| | 13/55
| |
| | 567.273
| | 850.909
| | 1418.182
|-
| |
| | 9/38
| |
| | 568.421
| | 852.632
| | 1421.053
|-
| |
| |
| |
| | 569.187
| | 853.78
| | 1422.967
|-
| |
| | 14/59
| |
| | 569 29/59
| | 854 14/59
| | 1423 43/59
|-
| |
| |
| |
| | 569.8085
| | 854.713
| | 1424.521
|-
| |
| | 19/80
| |
| | 570
| | 855
| | 1425
|-
| |
| | 24/101
| |
| | 570.297
| | 855.4455
| | 1425.743
|-
| |
| | 29/122
| |
| | 570.492
| | 855.738
| | 1426.2295
|-
| |
| | 34/143
| |
| | 570.629
| | 855.944
| | 1426.573
|-
| |
| | 39/164
| |
| | 570.732
| | 856.098
| | 1426.829
|-
| |
| | 44/185
| |
| | 570.811
| | 856.216
| | 1427.027
|-
| | 5/21
| |
| |
| | 571.429
| | 857.143
| | 1428.571
|-
| |
| | 51/214
| |
| | 571.963
| | 857.944
| | 1429.9065
|-
| |
| | 46/193
| |
| | 572.021
| | 858.031
| | 1430.052
|-
| |
| | 41/172
| |
| | 572.093
| | 858.1395
| | 1430.2325
|-
| |
| |
| |
| | 572.179
| | 858.268
| | 1430.447
|-
| |
| | 36/151
| |
| | 572.185
| | 858.278
| | 1430.464
|-
| |
| | 31/130
| |
| | 572.308
| | 858.4615
| | 1430.769
|-
| |
| | 26/109
| |
| | 572.477
| | 858.716
| | 1431.193
|-
| |
| | 21/88
| |
| | 572.727
| | 859.091
| | 1431.818
|-
| |
| | 16/67
| |
| | 573.134
| | 859.7015
| | 1432.836
|-
| |
| |
| | 27/113
| | 573.451
| | 860.177
| | 1433.628
|-
| |
| | 11/46
| |
| | 573.913
| | 860.87
| | 1434.783
|-
| |
| |
| | 28/117
| | 574.359
| | 861.5385
| | 1435.8975
|-
| |
| | 17/71
| |
| | 574.648
| | 861.972
| | 1436.62
|-
| |
| | 23/96
| |
| | 575
| | 862.5
| | 1437.5
|-
| |
| | 29/121
| |
| | 575.207
| | 862.81
| | 1438.0165
|-
| |
| | 35/146
| |
| | 575.3425
| | 863.014
| | 1438.356
|-
| |
| | 41/171
| |
| | 575.438
| | 863.158
| | 1438.5965
|-
| |
| | 47/196
| |
| | 575.51
| | 863.265
| | 1438.7755
|-
| |
| | 53/221
| |
| | 575.566
| | 863.348
| | 1438.914
|-
| |
| | 59/246
| |
| | 575.61
| | 863.415
| | 1439.024
|-
| | 6/25
| |
| |
| | 576
| | 864
| | 1440
|-
| |
| | 31/183
| |
| | 576.525
| | 864.787
| | 1441.3115
|-
| |
| | 25/104
| |
| | 576.921
| | 865.385
| | 1442.308
|-
| |
| | 19/79
| |
| | 577.215
| | 865.833
| | 1443.038
|-
| |
| | 13/54
| |
| | 577.778
| | 866.667
| | 1444.444
|-
| |
| | 20/83
| |
| | 578.313
| | 867.47
| | 1445.783
|-
| |
| | 27/112
| |
| | 578.571
| | 867.857
| | 1446.429
|-
| |
| | 34/141
| |
| | 578.723
| | 868.085
| | 1446.8085
|-
| |
| | 41/170
| |
| | 578.8235
| | 868.235
| | 1447.059
|-
| | 7/29
| |
| |
| | 579.31
| | 868.9655
| | 1448.276
|-
| | 1/4
| |
| |
| | 600
| | 900
| | 1500
|}
[[Category:Huxley]]
[[Category:Huxley]]
[[Category:Lovecraft]]
[[Category:Lovecraft]]
[[Category:Gariberttet]]
[[Category:Gariberttet]]
[[Category:MOS scales]]
[[Category:Abstract MOS patterns]]
[[Category:Tables]]
Retrieved from "https://en.xen.wiki/w/4L_9s"