12L 17s: Difference between revisions
Proposed adding the hardness of Pythagorean tuning with this MOS and subsequent ones |
No fractional-octave temps here |
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{{Infobox MOS}} | {{Infobox MOS}} | ||
{{MOS intro}} | {{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. [[Pythagorean tuning]] generates this scale, with a hardness of 2.8459. | 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. [[Pythagorean tuning]] generates this scale, with a hardness of 2.8459. It is known as '''pythagotonic''' in [[TAMNAMS Extension]]. | ||
== Intervals == | == Intervals == | ||
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{{MOS tuning spectrum | {{MOS tuning spectrum | ||
| 4/3 = [[Undecental]] | | 4/3 = [[Undecental]] | ||
| 10/7 = Argent tuning (497. | | 10/7 = Argent tuning (497.056{{c}}) | ||
| 13/8 = Unnamed golden tuning (497. | | 13/8 = Unnamed golden tuning (497.254{{c}}) | ||
| 7/4 = [[Kwai]] | | 7/4 = [[Kwai]] | ||
| 9/4 = [[Cotoneum]] | | 9/4 = [[Cotoneum]] | ||
| 5/2 = [[Garibaldi]] / [[cassandra]] | | 5/2 = [[Garibaldi]] / [[cassandra]] | ||
| 11/4 = [[Pythagorean tuning]] (498. | | 11/4 = [[Pythagorean tuning]] (498.045{{c}}) | ||
| 3/1 = Garibaldi / [[helenus]] | | 3/1 = Garibaldi / [[helenus]] | ||
| 10/3 = [[Pontiac]] | | 10/3 = [[Pontiac]] | ||
| 6/1 = [[Grackle]], ↓ [[gracecordial]] | | 6/1 = [[Grackle]], ↓ [[gracecordial]] | ||
}} | }} | ||