9edo: Difference between revisions
Wikispaces>JosephRuhf **Imported revision 601329588 - Original comment: ** |
Wikispaces>TallKite **Imported revision 602737978 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User: | : This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-12-22 03:49:49 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>602737978</tt>.<br> | ||
: The revision comment was: <tt></tt><br> | : The revision comment was: <tt></tt><br> | ||
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | ||
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The 9EDO scale, which divides the octave into nine equal parts each of 133+1/3 cents precisely, has the peculiar property of representing certain [[Harmonic Limit|7-limit]] intervals almost exactly. A 7-limit version of 9EDO goes | The 9EDO scale, which divides the octave into nine equal parts each of 133+1/3 cents precisely, has the peculiar property of representing certain [[Harmonic Limit|7-limit]] intervals almost exactly. A 7-limit version of 9EDO goes | ||
1: 27/25 133.238 | 1: 27/25 133.238 large limma, BP small semitone | ||
2: 7/6 266.871 septimal minor third | 2: 7/6 266.871 septimal minor third | ||
3: 63/50 400.108 | 3: 63/50 400.108 quasi-equal major third | ||
4: 49/36 533.742 | 4: 49/36 533.742 Arabic lute acute fourth | ||
5: 72/49 666.258 | 5: 72/49 666.258 Arabic lute grave fifth | ||
6: 100/63 799.892 | 6: 100/63 799.892 quasi-equal minor sixth | ||
7: 12/7 933.129 septimal major sixth | 7: 12/7 933.129 septimal major sixth | ||
8: 50/27 1066.762 | 8: 50/27 1066.762 grave major seventh | ||
9: 2/1 1200.000 octave | 9: 2/1 1200.000 octave | ||
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The 9EDO scale, which divides the octave into nine equal parts each of 133+1/3 cents precisely, has the peculiar property of representing certain <a class="wiki_link" href="/Harmonic%20Limit">7-limit</a> intervals almost exactly. A 7-limit version of 9EDO goes<br /> | The 9EDO scale, which divides the octave into nine equal parts each of 133+1/3 cents precisely, has the peculiar property of representing certain <a class="wiki_link" href="/Harmonic%20Limit">7-limit</a> intervals almost exactly. A 7-limit version of 9EDO goes<br /> | ||
<br /> | <br /> | ||
1: 27/25 133.238 | 1: 27/25 133.238 large limma, BP small semitone<br /> | ||
2: 7/6 266.871 septimal minor third<br /> | 2: 7/6 266.871 septimal minor third<br /> | ||
3: 63/50 400.108 | 3: 63/50 400.108 quasi-equal major third<br /> | ||
4: 49/36 533.742 | 4: 49/36 533.742 Arabic lute acute fourth<br /> | ||
5: 72/49 666.258 | 5: 72/49 666.258 Arabic lute grave fifth<br /> | ||
6: 100/63 799.892 | 6: 100/63 799.892 quasi-equal minor sixth<br /> | ||
7: 12/7 933.129 septimal major sixth<br /> | 7: 12/7 933.129 septimal major sixth<br /> | ||
8: 50/27 1066.762 | 8: 50/27 1066.762 grave major seventh<br /> | ||
9: 2/1 1200.000 octave<br /> | 9: 2/1 1200.000 octave<br /> | ||
<br /> | <br /> | ||