7-limit: Difference between revisions
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== Edo approximation == | == Edo approximation == | ||
Here is a list of [[edo]]s which tunes the 7-limit with more accuracy (decreasing [[TE error]]): {{EDOs| 10, 12, 19, 27, 31, 41, 53, 72, 99, 171, 441, 612, … }}. | Here is a list of [[edo]]s which tunes the 7-limit with more accuracy ([[monotonicity limit]] ≥ 7 and decreasing [[TE error]]): {{EDOs| 5, 8d, 9, 10, 12, 19, 27, 31, 41, 53, 72, 99, 171, 441, 612, … }}. For a more comprehensive list, see [[Sequence of equal temperaments by error]]. | ||
Here is a list of edos which tunes the 7-limit well relative to their size ([[TE relative error]] < 5%): {{EDOs| 12, 19, 31, 41, 53, 72, 99, 118, 130, 140, 152, 171, 183, 202, 212, 217, 224, 229, 239, 243, 251, 270, 282, 289, 301, 311, 323, 354, 369, 373, 383, 388, 395, 400, 410, 414, 422, 441, 453, 460, 472, 482, 494, 525, 544, 566, 571, 581, 593, 612, … }}. | Here is a list of edos which tunes the 7-limit well relative to their size ([[TE relative error]] < 5%): {{EDOs| 12, 19, 31, 41, 53, 72, 99, 118, 130, 140, 152, 171, 183, 202, 212, 217, 224, 229, 239, 243, 251, 270, 282, 289, 301, 311, 323, 354, 369, 373, 383, 388, 395, 400, 410, 414, 422, 441, 453, 460, 472, 482, 494, 525, 544, 566, 571, 581, 593, 612, … }}. | ||
== Intervals == | == Intervals == | ||
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; {{W|Franz Liszt}} | ; {{W|Franz Liszt}} | ||
* {{W|Consolations (Liszt)|"Consolation No. 3"}} (1850) – [ | * {{W|Consolations (Liszt)|"Consolation No. 3"}} (1850) – [https://soundcloud.com/tallkite/liszt-consolation-3-by-ken-1 play] – Ken Stillwell performance, retuned by [[Kite Giedraitis]] to the [[kite33]] 7-limit JI scale | ||
; {{W|Johann Pachelbel}} | ; {{W|Johann Pachelbel}} | ||
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* [https://www.youtube.com/watch?v=YcMcychEAoE ''The Bazillionth Party Track''] (2023) | * [https://www.youtube.com/watch?v=YcMcychEAoE ''The Bazillionth Party Track''] (2023) | ||
* [https://www.youtube.com/watch?v=qDfIzd_Q-Hc ''Counting to Infinity''] (2025) | * [https://www.youtube.com/watch?v=qDfIzd_Q-Hc ''Counting to Infinity''] (2025) | ||
* "You Geese" from ''Holy Carp'' (2025) – [https://open.spotify.com/track/5xcKZqwgw2SXSZRf1NQsyT Spotify] | [https://francium223.bandcamp.com/track/you-geese Bandcamp] | [https://www.youtube.com/watch?v=jlLQYfHp69A YouTube] | |||
; [[Kite Giedraitis]] | ; [[Kite Giedraitis]] | ||