Diaslen: Difference between revisions
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The standard untempered 2.3.7 interpretation for diamech has L = [[9/8]], m = [[49/48]], s = [[64/63]]. | The standard untempered 2.3.7 interpretation for diamech has L = [[9/8]], m = [[49/48]], s = [[64/63]]. | ||
=== Huntmic (2.3.7.13/5[640/637]) === | === Huntmic (2.3.7.13/5[640/637]) === | ||
[[Huntmic]] is a particularly elegant temperament for diamech. Assuming the 2.3.7 interpretation above and the constraint m:s = 2:1 makes L + m = 147/128 exactly half of 2L + m + 2s = 4/3, making it natural to set 147/128 equal to 15/13, tempering out [[640/637]]. [[53edo]] (9:2:1) and [[58edo]] (10:2:1) offer particularly good tunings for this interpretation; while the 58edo tuning's s step is smaller than that of the 53edo tuning, | [[Huntmic]] is a particularly elegant temperament for diamech. Assuming the 2.3.7 interpretation above and the constraint m:s = 2:1 makes L + m = 147/128 exactly half of 2L + m + 2s = 4/3, making it natural to set 147/128 equal to 15/13, tempering out [[640/637]]. [[53edo]] (9:2:1) and [[58edo]] (10:2:1) offer particularly good tunings for this interpretation; while the 58edo tuning's s step is smaller than that of the 53edo tuning, 58edo has better 7/6, 9/7, 15/13, and 13/10 as well as giving you a free 11:13:15. | ||
[[Category:Rank-3 scales]] | [[Category:Rank-3 scales]] | ||
[[Category:Aberrismic theory]] | [[Category:Aberrismic theory]] | ||