Diaschisma
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author toddiharrop and made on 2016-11-23 16:20:42 UTC.
- The original revision id was 600278934.
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Original Wikitext content:
2048/2025, the diaschisma, an interval of 19.553 [[cent|cents]], it is the difference between four perfect fifths plus two major thirds and three octaves, Tempering it out leads to [[Diaschismic family|Diaschismic temperament]]. It may also be defined as the difference between a just Pythagorean minor seventh and a just augmented sixth (E.A. [[16_9|16/9]] - 225/128), as the difference between two [[16_15|diatonic semitones]] and the [[9_8|major whole tone]], that is, (9/8)/(16/15)^2, or as the difference between the 5-limit tritones: [[45_32|45/32]] and its enharmonic equivalent [[64_45|64/45]].
Original HTML content:
<html><head><title>diaschisma</title></head><body>2048/2025, the diaschisma, an interval of 19.553 <a class="wiki_link" href="/cent">cents</a>, it is the difference between four perfect fifths plus two major thirds and three octaves, Tempering it out leads to <a class="wiki_link" href="/Diaschismic%20family">Diaschismic temperament</a>. It may also be defined as the difference between a just Pythagorean minor seventh and a just augmented sixth (E.A. <a class="wiki_link" href="/16_9">16/9</a> - 225/128), as the difference between two <a class="wiki_link" href="/16_15">diatonic semitones</a> and the <a class="wiki_link" href="/9_8">major whole tone</a>, that is, (9/8)/(16/15)^2, or as the difference between the 5-limit tritones: <a class="wiki_link" href="/45_32">45/32</a> and its enharmonic equivalent <a class="wiki_link" href="/64_45">64/45</a>.</body></html>