1953 scale: Difference between revisions

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This scale's 5-limit performance is amazing; in the 7-limit department it does not perform as well unless we choose to use a non-patent val for 7 (which tempers out the septimal diesis [[49/48]], much as 19edo itself does). The harmonic seventh tetrad can only be voiced using this alternate val, but it's possible to voice the subminor triad (6:7:9) using the ''patent'' 7 as well.

The eleventh harmonic does not appear ~~(although this might not necessarily be a bad thing for those who consider it [[User:MasonGreen1/Naughty and nice harmonics|naughty]])~~. The thirteenth harmonic does appear and the half-suspended triad 10:13:15 is common. This makes the 1953 scale an ideal scale for exploring the possibilities of the 13th harmonic alongside the more familiar 5 and 7, and it can be considered a tuning of the 3.5.7.13 subset.

The eleventh harmonic does not appear. The thirteenth harmonic does appear and the half-suspended triad 10:13:15 is common. This makes the 1953 scale an ideal scale for exploring the possibilities of the 13th harmonic alongside the more familiar 5 and 7, and it can be considered a tuning of the 3.5.7.13 subset.

The distances (in 53edo scale degrees) between adjacent notes of the 1953 scale are 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 2.

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 This scale's 5-limit performance is amazing; in the 7-limit department it does not perform as well unless we choose to use a non-patent val for 7 (which tempers out the septimal diesis [[49/48]], much as 19edo itself does). The harmonic seventh tetrad can only be voiced using this alternate val, but it's possible to voice the subminor triad (6:7:9) using the ''patent'' 7 as well.
-The eleventh harmonic does not appear (although this might not necessarily be a bad thing for those who consider it [[User:MasonGreen1/Naughty and nice harmonics|naughty]]). The thirteenth harmonic does appear and the half-suspended triad 10:13:15 is common. This makes the 1953 scale an ideal scale for exploring the possibilities of the 13th harmonic alongside the more familiar 5 and 7, and it can be considered a tuning of the 3.5.7.13 subset.
+The eleventh harmonic does not appear. The thirteenth harmonic does appear and the half-suspended triad 10:13:15 is common. This makes the 1953 scale an ideal scale for exploring the possibilities of the 13th harmonic alongside the more familiar 5 and 7, and it can be considered a tuning of the 3.5.7.13 subset.
 The distances (in 53edo scale degrees) between adjacent notes of the 1953 scale are 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 2.