Xenharmonic Wiki

6L 7s: Difference between revisions

← Older edit
VisualWikitext
BudjarnLambeth (talk | contribs)
autopatrolled, emailconfirmed
21,262 edits
m Categorised this uncategorised page
ArrowHead294 (talk | contribs)
15,213 edits
m substitute deprecated template
 
(19 intermediate revisions by 7 users not shown)
Line 1: Line 1:
This MOS is the chromatic scale of a family of temperaments which are index 2 subtemperaments of various meantone temperaments. It is a great early step into un-syntonic temperaments by virtue of this property, though admittedly Neutral thirds/Mohajira is greater in this respect if you don't mind essentially giving up major and minor seconds/sevenths and thirds/sixths (syntonic temperaments are index 2 subtemperaments of them) because it at least has an albitonic sized MOS which feels like a division of the octave, which cannot be said for the temperaments which this scale belongs to (Happy and Grumpy scales have a very strong period dysphoric feeling due to the common practice use of the equally divided chromatic scale, and Grumpy scales have it stronger because their small step is the the odd step out).
{{Infobox MOS}}
{{MOS intro}}


{| class="wikitable"
This MOS is the chromatic scale of a family of temperaments which are index-2 subtemperaments (that is, taking every other step of the generator chain) of various [[meantone]] temperaments: that is, those that are generated by a ''mean tone'', that being specifically a whole tone of tunings with a fifth in between that of [[26edo]] and [[12edo]], and roughly speaking between [[10/9]] and [[9/8]].  
|-
 
! colspan="3" | Generator
The most notable temperaments generating this scale are [[didacus]] in the [[2.5.7 subgroup]] and [[Hemimean clan|its extensions]], with its generator identified with ~[[28/25]], whose optimum makes a [[superhard]] tuning, similarly to the situation with [[5L 6s]] and [[slendric]].
! | cents
 
! | 3g
== Scale properties ==
! | 5g
{{TAMNAMS use}}
|-
 
| | 2/13
=== Intervals ===
| |
{{MOS intervals}}
| |
 
| | 184.615
=== Generator chain ===
| | 553.846
{{MOS genchain}}
| | 923.077
 
|-
=== Modes ===
| | 9/58
{{MOS mode degrees}}
| |
 
| |
== Scale tree ==
| | 186.207
{{MOS tuning spectrum
| | 558.621
| 11/3 = [[Hemithirds]]/[[luna]]
| | 931.0345
| 4/1 = [[Didacus]]/[[hemiwürschmidt]]
|-
| 5/1 = [[Roulette]]/[[mediantone]]
| |
}}
| | 16/103
 
| |
[[Category:Abstract MOS patterns]]
| | 186.408
| | 559.223
| | 932.039
|-
| | 7/45
| |
| |
| | 186.667
| | 560
| | 933.333
|-
| |
| | 19/122
| |
| | 186.885
| | 560.656
| | 934.426
|-
| |
| | 12/77
| |
| | 187.013
| | 561.039
| | 935.065
|-
| |
| | 17/109
| |
| | 187.156
| | 561.468
| | 935.78
|-
| |
| | 22/141
| |
| | 187.234
| | 561.702
| | 936.17
|-
| | 5/32
| |
| |
| | 187.5
| | 562.5
| | 937.5
|-
| |
| | 23/147
| |
| | 187.755
| | 563.265
| | 938.7755
|-
| |
| |
| |
| | 187.823
| | 563.47
| | 939.116
|-
| |
| | 18/115
| |
| | 187.826
| | 563.478
| | 939.103
|-
| |
| | 13/83
| |
| | 187.951
| | 563.855
| | 939.759
|-
| |
| |
| |
| | 188.03
| | 564.089
| | 940.149
|-
| |
| | 8/51
| |
| | 188.235
| | 564.706
| | 941.1765
|-
| |
| |
| |
| | 188.501
| | 565.502
| | 942.503
|-
| |
| | 11/70
| |
| | 188.571
| | 565.714
| | 942.857
|-
| |
| | 14/89
| |
| | 188.764
| | 566.2921
| | 943.82
|-
| |
| | 17/108
| |
| | 188.889
| | 566.667
| | 944.444
|-
| |
| | 20/127
| |
| | 188.976
| | 566.929
| | 944.882
|-
| |
| | 23/146
| |
| | 189.041
| | 567.123
| | 945.2055
|-
| |
| | 26/165
| |
| | 189.091
| | 567.273
| | 945.4545
|-
| |
| | 29/184
| |
| | 189.13
| | 567.391
| | 945.652
|-
| |
| | 32/203
| |
| | 189.163
| | 567.488
| | 945.813
|-
| |
| | 35/222
| |
| | 189.189
| | 567.568
| | 945.946
|-
| |
| | 38/241
| |
| | 189.212
| | 567.635
| | 946.037
|-
| | 3/19
| |
| |
| | 189.474
| | 568.421
| | 947.368
|-
| |
| | 31/196
| |
| | 189.796
| | 568.388
| | 948.98
|-
| |
| | 28/177
| |
| | 189.8305
| | 568.4915
| | 949.1525
|-
| |
| | 25/158
| |
| | 189.873
| | 568.62
| | 949.367
|-
| |
| | 22/139
| |
| | 189.928
| | 569.784
| | 949.64
|-
| |
| | 19/120
| |
| | 190
| | 570
| | 950
|-
| |
| | 16/101
| |
| | 190.099
| | 570.297
| | 950.495
|-
| |
| | 13/82
| |
| | 190.244
| | 570.732
| | 951.2195
|-
| |
| | 10/63
| |
| | 190.476
| | 571.429
| | 952.381
|-
| |
| |
| | 17/107
| | 190.654
| | 571.963
| | 953.271
|-
| |
| | 7/44
| |
| | 190.909
| | 572.727
| | 954.5455
|-
| |
| |
| | 18/113
| | 191.15
| | 573.451
| | 955.752
|-
| |
| |
| |
| | 191.193
| | 573.578
| | 955.963
|-
| |
| | 11/69
| |
| | 191.304
| | 573.913
| | 956.522
|-
| |
| |
| |
| | 191.42
| | 574.26
| | 957.1
|-
| |
| | 15/94
| |
| | 191.489
| | 574.468
| | 957.447
|-
| |
| | 19/119
| |
| | 191.597
| | 574.79
| | 957.983
|-
| |
| | 23/144
| |
| | 191.667
| | 575
| | 958.333
|-
| |
| | 27/169
| |
| | 191.716
| | 575.148
| | 958.58
|-
| |
| | 31/194
| |
| | 191.753
| | 575.258
| | 959.505
|-
| | 4/25
| |
| |
| | 192
| | 576
| | 960
|-
| |
| |
| |
| | 192.263
| | 576.789
| | 961.315
|-
| |
| | 21/131
| |
| | 192.366
| | 577.11
| | 961.832
|-
| |
| | 17/106
| |
| | 192.453
| | 577.3585
| | 962.264
|-
| |
| | 13/81
| |
| | 192.592
| | 577.778
| | 962.963
|-
| |
| |
| | 22/137
| | 192.701
| | 578.102
| | 963.504
|-
| |
| | 9/56
| |
| | 192.857
| | 578.571
| | 964.286
|-
| |
| | 14/87
| |
| | 193.103
| | 579.31
| | 965.517
|-
| |
| | 19/118
| |
| | 193.22
| | 579.661
| | 966.102
|-
| | 5/31
| |
| |
| | 193.548
| | 580.645
| | 967.742
|-
| |
| | 26/161
| |
| | 193.789
| | 581.3665
| | 968.944
|-
| |
| | 21/130
| |
| | 193.846
| | 581.5385
| | 969.231
|-
| |
| | 16/99
| |
| | 193.94
| | 581.818
| | 969.697
|-
| |
| | 11/68
| |
| | 194.118
| | 582.353
| | 970.588
|-
| |
| | 17/105
| |
| | 194.286
| | 582.857
| | 971.143
|-
| | 6/37
| |
| |
| | 194.595
| | 583.784
| | 972.973
|-
| | 1/6
| |
| |
| | 200
| | 600
| | 1000
|}
[[Category:MOS scales]]
[[Category:Tables]]
Retrieved from "https://en.xen.wiki/w/6L_7s"