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| This is the MOS which splits the small steps 1-2-1-2-1-2-1-1-2-1-1-2 between the large steps. Its generator is a near-perfect fourth of no less than 5/12edo (500 cents), and 53edo falls near the beginning of its boundary of "practicality" and its harmonic entropy minimum of exactly 4/3.
| | {{Infobox MOS}} |
| | {{MOS intro}} |
| | 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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| {| class="wikitable"
| | == Intervals == |
| |-
| | {{MOS intervals}} |
| | | 12/29
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| | |
| | == Scale tree == |
| | |
| | {{MOS tuning spectrum |
| | |
| | | 4/3 = [[Undecental]] |
| | |
| | | 10/7 = Argent tuning (497.056¢) |
| | | 496.552
| | | 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]] |
| | | 53/128
| | | 10/3 = [[Pontiac]] |
| | | 496.875
| | | 6/1 = [[Grackle]], ↓ [[gracecordial]] |
| |-
| | }} |
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| | {{todo|expand}} |
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| | | 41/99
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| | | 496.97
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| | | 70/169 | |
| | | 497.041
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| | | | |
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| | | 29/70
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| | | 497.143
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| |- | |
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| | |
| |
| | |
| |
| | | 497.211
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| |
| | | 75/181
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| | | 497.238
| |
| |-
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| | | | |
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| | |
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| | |
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| | | 497.254
| |
| |-
| |
| | |
| |
| | |
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| | |
| |
| | | 46/111
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| | | | |
| | | 497.297
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 497.353
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 63/152
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| | | 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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| |
| | |
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| | |
| |
| | | 56/135
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| | | 497.778
| |
| |-
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| | |
| |
| | | 39/94
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| | |
| |
| | | 497.842
| |
| |-
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| |
| | |
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| | |
| |
| | | 497.935
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| |-
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| | |
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| | |
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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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| | | | |
| | |
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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 | |
| | | 498.701
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| |-
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| | | 5/12 | |
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| | | 500
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| |} | |