62edo
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author JosephRuhf and made on 2012-05-26 21:33:38 UTC.
- The original revision id was 339785034.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
62 edo, being two parallel tracks of 31, is a 1/10-tone meantone system like 60, 64, 66b, 68b and 70b and the best of all the six since 31 is the "real" 1/5-tone meantone system (33 is nearly equivalent to fifths of 10/9 and 35 barely qualifies as fifths of a tone because its so-called wholetone is 11¢ flat of 10/9 and 30, 32 and 34 aren't even meantones). It is also strong as an 1/8-tone Armodue-Hornbostel system, with the 6th being 35 steps. However, 31 is a "false" quarter-tone system with respect to the same temperament since the Armodue-Hornbostel whole tone is simplest when achieved by a chain of 5 of the septimal minor third at 7/31, which is a good generator for [[Orwell]]. This makes 8/62 an Orwell whole tone as well, so 62 is twice an 1/8-tone system; but this is no real surprise since 1/8-tone systems will have 40 to 80 divisions in the octave as a matter of course.
Original HTML content:
<html><head><title>62edo</title></head><body>62 edo, being two parallel tracks of 31, is a 1/10-tone meantone system like 60, 64, 66b, 68b and 70b and the best of all the six since 31 is the "real" 1/5-tone meantone system (33 is nearly equivalent to fifths of 10/9 and 35 barely qualifies as fifths of a tone because its so-called wholetone is 11¢ flat of 10/9 and 30, 32 and 34 aren't even meantones). It is also strong as an 1/8-tone Armodue-Hornbostel system, with the 6th being 35 steps. However, 31 is a "false" quarter-tone system with respect to the same temperament since the Armodue-Hornbostel whole tone is simplest when achieved by a chain of 5 of the septimal minor third at 7/31, which is a good generator for <a class="wiki_link" href="/Orwell">Orwell</a>. This makes 8/62 an Orwell whole tone as well, so 62 is twice an 1/8-tone system; but this is no real surprise since 1/8-tone systems will have 40 to 80 divisions in the octave as a matter of course.</body></html>