User:Zhenlige/EDO impressions: Difference between revisions
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*[[15edo|15]]: Better than it seems to be, tho still rough. A heavily stretched [[Carlos Alpha]] scale. | *[[15edo|15]]: Better than it seems to be, tho still rough. A heavily stretched [[Carlos Alpha]] scale. | ||
*... | *... | ||
*[[17edo|17]]: A circle of fifths in [[34edo]]. Interesting sharp fifths. The fact that its thirds do not approximate any simple ratios well is a pity. (or benefit? I don't know) | *[[17edo|17]]: A circle of fifths in [[34edo]]. Interesting sharp fifths. The fact that its thirds do not approximate any simple ratios well is a pity. (or benefit? I don't know) I don't know how to write harmonies here. | ||
*[[18edo|18]]: Incomplete [[36edo]]. | *[[18edo|18]]: Incomplete [[36edo]]. | ||
*[[19edo|19]]: Very different tradeoffs from 12edo. Usable but imperfect for many temperaments. [[Meantone]] or [[magic]], but with a too flat fifth. Strangely large minor 2nds. Also a compressed [[Carlos Beta]]. For meantone [[31edo]] is more preferable, and for magic [[41edo]]. The lower bound of a good fifth. It benefits from stretching. Good as a subset of [[enneadecal]]. | *[[19edo|19]]: Very different tradeoffs from 12edo. Usable but imperfect for many temperaments. [[Meantone]] or [[magic]], but with a too flat fifth. Strangely large minor 2nds. Also a compressed [[Carlos Beta]]. For meantone [[31edo]] is more preferable, and for magic [[41edo]]. The lower bound of a good fifth. It benefits from stretching. Good as a subset of [[enneadecal]]. | ||
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*[[34edo|34]]: 17edo with prime [[5/1|5]], but no [[7/1|7]]. Also a stretched [[Carlos Gamma]]. | *[[34edo|34]]: 17edo with prime [[5/1|5]], but no [[7/1|7]]. Also a stretched [[Carlos Gamma]]. | ||
*... | *... | ||
*[[36edo|36]]: Good for 2.3.7.13.17.19.23.29 subroup. Otherwise incomplete 72edo. | *[[36edo|36]]: Good for 2.3.7.13.17.19.23.29 subroup. Avoid [[5/1|5]] here because it is almost completely missed. Otherwise incomplete 72edo. | ||
*[[37edo|37]]: Everything but prime [[3/1|3]]. | *[[37edo|37]]: Everything but prime [[3/1|3]]. | ||
*[[38edo|38]]: 19edo with neutrals. Near pure [[11/9]]. The acceptable error of 19edo really becomes a problem at this size. | *[[38edo|38]]: 19edo with neutrals. Near pure [[11/9]]. The acceptable error of 19edo really becomes a problem at this size. | ||