2187/2048
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author spt3125 and made on 2014-06-30 21:39:24 UTC.
- The original revision id was 515319832.
- 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:
**2187/2048** |-11 7> 113.6850 cents [[media type="file" key="jid_2187_2048_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_2187_2048_pluck_adu_dr220.mp3|sound sample]] The //apotome//, also known as the Pythagorean chromatic semitone or the Pythagorean major semitone, is the interval 3^7/2^11 = 2187/2048 which is the chromatic semitone in the Pythagorean (3-limit) version of the diatonic scale. Unlike the situation in meantone tunings, it is larger, not smaller, than the corresponding diatonic semitone, which is the Pythagorean minor second of [[256_243|256/243]]. It measures about 113.7¢ and can be generated by stacking seven [[3_2|3/2]] perfect fifths and octave-reducing the resulting interval. See: [[Gallery of Just Intervals]], [[comma]]
Original HTML content:
<html><head><title>2187_2048</title></head><body><strong>2187/2048</strong><br />
|-11 7><br />
113.6850 cents<br />
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<br />
The <em>apotome</em>, also known as the Pythagorean chromatic semitone or the Pythagorean major semitone, is the interval 3^7/2^11 = 2187/2048 which is the chromatic semitone in the Pythagorean (3-limit) version of the diatonic scale. Unlike the situation in meantone tunings, it is larger, not smaller, than the corresponding diatonic semitone, which is the Pythagorean minor second of <a class="wiki_link" href="/256_243">256/243</a>. It measures about 113.7¢ and can be generated by stacking seven <a class="wiki_link" href="/3_2">3/2</a> perfect fifths and octave-reducing the resulting interval.<br />
<br />
See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a>, <a class="wiki_link" href="/comma">comma</a></body></html>