Superpyth: Difference between revisions
Wikispaces>xenwolf **Imported revision 247387395 - Original comment: ** |
Wikispaces>xenwolf **Imported revision 247387565 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
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: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2011-08-21 11: | : This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2011-08-21 11:36:15 UTC</tt>.<br> | ||
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If the 5th harmonic is used at all, it is mapped to -9 generators, so C-D# is 5/4. So superpyth is "the opposite of" septimal meantone in several different ways: meantone has 4/3 tempered wide so that intervals of 5 are simple and intervals of 7 are complex, while superpyth has 4/3 tempered narrow so that intervals of 7 are simple while intervals of 5 are complex. | If the 5th harmonic is used at all, it is mapped to -9 generators, so C-D# is 5/4. So superpyth is "the opposite of" septimal meantone in several different ways: meantone has 4/3 tempered wide so that intervals of 5 are simple and intervals of 7 are complex, while superpyth has 4/3 tempered narrow so that intervals of 7 are simple while intervals of 5 are complex. | ||
If intervals of 11 are desired the simplest reasonable way is to map 11/8 to 6 generators (so 11/8 is a "diminished fifth"), by tempering out 99/98. This temperament is called "supra", or "suprapyth" if you include 5 as well. | If intervals of 11 are desired the simplest reasonable way is to map 11/8 to 6 generators (so 11/8 is a "diminished fifth"), by tempering out 99/98. | ||
This temperament is called "**supra**", or "**suprapyth**" if you include 5 as well. | |||
MOSes include 5, 7, 12, 17, and 22. | MOSes include 5, 7, 12, 17, and 22. | ||
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If the 5th harmonic is used at all, it is mapped to -9 generators, so C-D# is 5/4. So superpyth is &quot;the opposite of&quot; septimal meantone in several different ways: meantone has 4/3 tempered wide so that intervals of 5 are simple and intervals of 7 are complex, while superpyth has 4/3 tempered narrow so that intervals of 7 are simple while intervals of 5 are complex.<br /> | If the 5th harmonic is used at all, it is mapped to -9 generators, so C-D# is 5/4. So superpyth is &quot;the opposite of&quot; septimal meantone in several different ways: meantone has 4/3 tempered wide so that intervals of 5 are simple and intervals of 7 are complex, while superpyth has 4/3 tempered narrow so that intervals of 7 are simple while intervals of 5 are complex.<br /> | ||
<br /> | <br /> | ||
If intervals of 11 are desired the simplest reasonable way is to map 11/8 to 6 generators (so 11/8 is a &quot;diminished fifth&quot;), by tempering out 99/98. This temperament is called &quot;supra&quot;, or &quot;suprapyth&quot; if you include 5 as well.<br /> | If intervals of 11 are desired the simplest reasonable way is to map 11/8 to 6 generators (so 11/8 is a &quot;diminished fifth&quot;), by tempering out 99/98.<br /> | ||
This temperament is called &quot;<strong>supra</strong>&quot;, or &quot;<strong>suprapyth</strong>&quot; if you include 5 as well.<br /> | |||
<br /> | <br /> | ||
MOSes include 5, 7, 12, 17, and 22.<br /> | MOSes include 5, 7, 12, 17, and 22.<br /> | ||