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| {{Infobox MOS | | {{Infobox MOS}} |
| | Other names = | | {{MOS intro}} |
| | Periods = 1 | | Its [[chroma-positive]] generator is a near-perfect fourth of no more than 5\12 (500{{cent}}), and 53edo falls near the beginning of its boundary of "practicality" and its harmonic entropy minimum of exactly 4/3. |
| | nLargeSteps = 12 | | |
| | nSmallSteps = 17 | | == Intervals == |
| | Equalized = 12 | | {{MOS intervals}} |
| | Collapsed = 5 | | |
| | Pattern = LsLsLssLsLssLsLsLssLsLssLsLss | | == Scale tree == |
| | {{MOS tuning spectrum |
| | | 4/3 = [[Undecental]] |
| | | 10/7 = Argent tuning (497.056¢) |
| | | 13/8 = Unnamed golden tuning (497.254¢) |
| | | 7/4 = [[Kwai]] |
| | | 9/4 = [[Cotoneum]] |
| | | 5/2 = [[Garibaldi]] / [[cassandra]] |
| | | 11/4 = [[Pythagorean tuning]] (498.045¢) |
| | | 3/1 = Garibaldi / [[helenus]] |
| | | 10/3 = [[Pontiac]] |
| | | 6/1 = [[Grackle]], ↓ [[gracecordial]] |
| }} | | }} |
| The '''12L 17s''' [[MOS scale]] splits the small steps 1-1-2-1-2-1-1-2-1-2-1-2 between the large steps. Its [[chroma-positive]] generator is a near-perfect fourth of no more than 5\12 (500{{cent}}), and 53edo falls near the beginning of its boundary of "practicality" and its harmonic entropy minimum of exactly 4/3.
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| == Scale tree ==
| | {{todo|expand}} |
| {| class="wikitable" | |
| |-
| |
| | 12/29
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| |
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| |
| |
| |
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| | 496.552
| |
| |-
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| | 53/128
| |
| | 496.875
| |
| |-
| |
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| |
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| |
| | 41/99
| |
| |
| |
| | 496.97
| |
| |-
| |
| |
| |
| |
| |
| |
| |
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| |
| | 70/169
| |
| | 497.041
| |
| |-
| |
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| |
| |
| | 29/70
| |
| |
| |
| |
| |
| | 497.143
| |
| |-
| |
| |
| |
| |
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| |
| |
| |
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| | 497.211
| |
| |-
| |
| |
| |
| |
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| |
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| |
| |
| | 75/181
| |
| | 497.238
| |
| |-
| |
| |
| |
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| |
| | 497.254
| |
| |-
| |
| |
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| |
| |
| |
| |
| | 46/111
| |
| |
| |
| | 497.297
| |
| |-
| |
| |
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| |
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| |
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| | 497.353
| |
| |-
| |
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| |
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| |
| | 63/152
| |
| | 497.368
| |
| |-
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| | 17/41
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| |
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| |
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| | 497.561
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| |-
| |
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| |
| |
| |
| |
| |
| |
| | 56/135
| |
| | 497.778
| |
| |-
| |
| |
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| |
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| | 39/94
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| |
| |
| | 497.842
| |
| |-
| |
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| |
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| |
| |
| |
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| | 497.935
| |
| |-
| |
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| | 61/147
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| | 497.959
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| |-
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| | 497.985
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| |-
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| | 22/53
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| | 498.113
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| |-
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| | 498.178
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| |-
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| | 49/118
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| | 498.305
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| |-
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| | 27/65
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| | 498.4615
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| |-
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| | 32/77
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| | 498.701
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| |-
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| | 5/12
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| | 500
| |
| |}
| |