12L 17s: Difference between revisions

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Ganaram inukshuk (talk | contribs)
Mos intro
Ganaram inukshuk (talk | contribs)
Scale tree: Replaced scale tree
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== Scale tree ==
== Scale tree ==
{| class="wikitable"
{{Scale tree}}
|-
| 12/29
|
|
|
|
| 496.552
|-
|
|
|
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| 53/128
| 496.875
|-
|
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|
| 41/99
|
| 496.97
|-
|
|
|
|
| 70/169
| 497.041
|-
|
|
| 29/70
|
|
| 497.143
|-
|
|
|
|
|
| 497.211
|-
|
|
|
|
| 75/181
| 497.238
|-
|
|
|
|
|
| 497.254
|-
|
|
|
| 46/111
|
| 497.297
|-
|
|
|
|
|
| 497.353
|-
|
|
|
|
| 63/152
| 497.368
|-
|
| 17/41
|
|
|
| 497.561
|-
|
|
|
|
| 56/135
| 497.778
|-
|
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|
| 39/94
|
| 497.842
|-
|
|
|
|
|
| 497.935
|-
|
|
|
|
| 61/147
| 497.959
|-
|
|
|
|
|
| 497.985
|-
|
|
| 22/53
|
|
| 498.113
|-
|
|
|
|
|
| 498.178
|-
|
|
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|
| 49/118
| 498.305
|-
|
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|
| 27/65
|
| 498.4615
|-
|
|
|
|
| 32/77
| 498.701
|-
| 5/12
|
|
|
|
| 500
|}

Revision as of 19:21, 29 February 2024

↖ 11L 16s ↑ 12L 16s 13L 16s ↗
← 11L 17s 12L 17s 13L 17s →
↙ 11L 18s ↓ 12L 18s 13L 18s ↘
┌╥┬╥┬╥┬┬╥┬╥┬┬╥┬╥┬╥┬┬╥┬╥┬┬╥┬╥┬┬┐
│║│║│║││║│║││║│║│║││║│║││║│║│││
│││││││││││││││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LsLsLssLsLssLsLsLssLsLssLsLss
ssLsLssLsLssLsLsLssLsLssLsLsL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 12\29 to 5\12 (496.6 ¢ to 500.0 ¢)
Dark 7\12 to 17\29 (700.0 ¢ to 703.4 ¢)
TAMNAMS information
Related to 5L 2s (diatonic)
With tunings 2:1 to 5:2 (minihard)
Related MOS scales
Parent 12L 5s
Sister 17L 12s
Daughters 29L 12s, 12L 29s
Neutralized 24L 5s
2-Flought 41L 17s, 12L 46s
Equal tunings
Equalized (L:s = 1:1) 12\29 (496.6 ¢)
Supersoft (L:s = 4:3) 41\99 (497.0 ¢)
Soft (L:s = 3:2) 29\70 (497.1 ¢)
Semisoft (L:s = 5:3) 46\111 (497.3 ¢)
Basic (L:s = 2:1) 17\41 (497.6 ¢)
Semihard (L:s = 5:2) 39\94 (497.9 ¢)
Hard (L:s = 3:1) 22\53 (498.1 ¢)
Superhard (L:s = 4:1) 27\65 (498.5 ¢)
Collapsed (L:s = 1:0) 5\12 (500.0 ¢)

12L 17s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 12 large steps and 17 small steps, repeating every octave. 12L 17s is a great-grandchild scale of 5L 2s, expanding it by 22 tones. Generators that produce this scale range from 496.6 ¢ to 500 ¢, or from 700 ¢ to 703.4 ¢. Its chroma-positive generator is a near-perfect fourth of no more than 5\12 (500 ¢), and 53edo falls near the beginning of its boundary of "practicality" and its harmonic entropy minimum of exactly 4/3.

Scale tree

Template:Scale tree