Ragismic microtemperaments: Difference between revisions
Wikispaces>genewardsmith **Imported revision 503137770 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 519251994 - 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:genewardsmith|genewardsmith]] and made on <tt>2014- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2014-08-21 22:15:18 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>519251994</tt>.<br> | ||
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If 1/9 of an octave is too small of a period for you, you could try generator-period pairs of [3, 5], [5/3, 3], [6/5, 4/3], [4/3, 8/5] or [10/9, 4/3] (for example.) In particular, people fond of the idea of "tritaves" as analogous to octaves might consider the 28 or 43 note MOS with generator an approximate 5/3 within 3; for instance as given by 451/970 of a "tritave". Tetrads have a low enough complexity that (for example) there are nine 1-3/2-7/4-5/2 tetrads in the 28 notes to the tritave MOS, which is equivalent in average step size to a 17 2/3 to the octave MOS. | If 1/9 of an octave is too small of a period for you, you could try generator-period pairs of [3, 5], [5/3, 3], [6/5, 4/3], [4/3, 8/5] or [10/9, 4/3] (for example.) In particular, people fond of the idea of "tritaves" as analogous to octaves might consider the 28 or 43 note MOS with generator an approximate 5/3 within 3; for instance as given by 451/970 of a "tritave". Tetrads have a low enough complexity that (for example) there are nine 1-3/2-7/4-5/2 tetrads in the 28 notes to the tritave MOS, which is equivalent in average step size to a 17 2/3 to the octave MOS. | ||
[[Tuning Ranges of Regular Temperaments|valid range]]: [26.667, 66.667] (45bcd to 18bcd) | |||
nice range: [48.920, 49.179] | |||
strict range: [48.920, 49.179] | |||
Commas: 2401/2400, 4375/4374 | Commas: 2401/2400, 4375/4374 | ||
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If 1/9 of an octave is too small of a period for you, you could try generator-period pairs of [3, 5], [5/3, 3], [6/5, 4/3], [4/3, 8/5] or [10/9, 4/3] (for example.) In particular, people fond of the idea of &quot;tritaves&quot; as analogous to octaves might consider the 28 or 43 note MOS with generator an approximate 5/3 within 3; for instance as given by 451/970 of a &quot;tritave&quot;. Tetrads have a low enough complexity that (for example) there are nine 1-3/2-7/4-5/2 tetrads in the 28 notes to the tritave MOS, which is equivalent in average step size to a 17 2/3 to the octave MOS.<br /> | If 1/9 of an octave is too small of a period for you, you could try generator-period pairs of [3, 5], [5/3, 3], [6/5, 4/3], [4/3, 8/5] or [10/9, 4/3] (for example.) In particular, people fond of the idea of &quot;tritaves&quot; as analogous to octaves might consider the 28 or 43 note MOS with generator an approximate 5/3 within 3; for instance as given by 451/970 of a &quot;tritave&quot;. Tetrads have a low enough complexity that (for example) there are nine 1-3/2-7/4-5/2 tetrads in the 28 notes to the tritave MOS, which is equivalent in average step size to a 17 2/3 to the octave MOS.<br /> | ||
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<a class="wiki_link" href="/Tuning%20Ranges%20of%20Regular%20Temperaments">valid range</a>: [26.667, 66.667] (45bcd to 18bcd)<br /> | |||
nice range: [48.920, 49.179]<br /> | |||
strict range: [48.920, 49.179]<br /> | |||
<br /> | <br /> | ||
Commas: 2401/2400, 4375/4374<br /> | Commas: 2401/2400, 4375/4374<br /> | ||
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