653edo: Difference between revisions
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== Theory == | == Theory == | ||
653edo is [[ | 653edo is [[distinctly consistent]] to the [[21-odd-limit]], [[tempering out]] {{monzo| 39 -29 3 }} ([[tricot comma]]) and {{monzo| -20 -24 25 }} ([[counterhanson comma]]) in the 5-limit; [[2401/2400]], [[65625/65536]], and {{monzo| 7 -27 13 2 }} in the 7-limit; [[3025/3024]], [[41503/41472]], 496125/495616, and 1953125/1948617 in the 11-limit; [[2080/2079]], 4459/4455, [[6656/6655]], [[10985/10976]], and 170625/170368 in the 13-limit; [[1225/1224]], [[2058/2057]], [[2431/2430]], [[2500/2499]], [[4914/4913]], and 11271/11264 in the 17-limit; [[1445/1444]], [[1521/1520]], 1540/1539, [[1729/1728]], 3136/3135, 4200/4199, and 4394/4389 in the 19-limit. | ||
=== Prime harmonics === | === Prime harmonics === | ||
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| {{monzo| 1035 -653 }} | | {{monzo| 1035 -653 }} | ||
| {{mapping| 653 1035 }} | | {{mapping| 653 1035 }} | ||
| | | −0.0113 | ||
| 0.0113 | | 0.0113 | ||
| 0.61 | | 0.61 | ||
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| [[Tricot]] | | [[Tricot]] | ||
|} | |} | ||
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if | <nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct | ||
== Music == | == Music == | ||
; [[Francium]] | ; [[Francium]] | ||
* "Seamless Toggle-Style" from ''Take Advantage'' (2024) | * "Seamless Toggle-Style" from ''Take Advantage'' (2024) – [https://open.spotify.com/track/6nGhaXwzE85erYFtxGB9Dt Spotify] | [https://francium223.bandcamp.com/track/seamless-toggle-style Bandcamp] | [https://www.youtube.com/watch?v=TQP9W0vIvqw YouTube] | ||