67edo: Difference between revisions
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Wikispaces>Kosmorsky **Imported revision 276663346 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 276673326 - 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:genewardsmith|genewardsmith]] and made on <tt>2011-11-17 15:24:51 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>276673326</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> | ||
<h4>Original Wikitext content:</h4> | <h4>Original Wikitext content:</h4> | ||
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">67 equal divisions of the octave | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">67 equal divisions of the octave divides the octave into 67 equal parts of 17.910 cents each. It tempers out 81/80, supporting meantone temperament, with a tuning which is approximately 1/6 comma, or 0.16 comma, meantone. In the 7-limit the patent val tempers out 1029/1024 and 1728/1715, so that it supports [[Meantone family|mothra temperament]]. In the 11-limit it tempers out 176/175 and 540/539, supporting mosura, an alternative 11-limit mothra. In the 13-limit it tempers out 144/143 and 196/195, supporting 13-limit mosura. It tempers out the orgonisma, and on the 2.7.11 subgroup it supports [[Orgonia|orgone temperament]]. | ||
A promising tuning which has, as many relatively large equal temperaments do, a variety of tonal resources: it is the first edo to have both a light meantone and an orgone temperament. It has relatively good approximations of the 3rd, 7th, 11th, 13th, 15th, 17th harmonics, although the 5th, 9th, and 19th as well as certain higher ones are workable as well. 33+34 can be used to construct this temperament explaining some of its properties. | A promising tuning which has, as many relatively large equal temperaments do, a variety of tonal resources: it is the first edo to have both a light meantone and an orgone temperament. It has relatively good approximations of the 3rd, 7th, 11th, 13th, 15th, 17th harmonics, although the 5th, 9th, and 19th as well as certain higher ones are workable as well. 33+34 can be used to construct this temperament explaining some of its properties. | ||
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67: 2/1 1200.000 octave</pre></div> | 67: 2/1 1200.000 octave</pre></div> | ||
<h4>Original HTML content:</h4> | <h4>Original HTML content:</h4> | ||
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>67edo</title></head><body>67 equal divisions of the octave<br /> | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>67edo</title></head><body>67 equal divisions of the octave divides the octave into 67 equal parts of 17.910 cents each. It tempers out 81/80, supporting meantone temperament, with a tuning which is approximately 1/6 comma, or 0.16 comma, meantone. In the 7-limit the patent val tempers out 1029/1024 and 1728/1715, so that it supports <a class="wiki_link" href="/Meantone%20family">mothra temperament</a>. In the 11-limit it tempers out 176/175 and 540/539, supporting mosura, an alternative 11-limit mothra. In the 13-limit it tempers out 144/143 and 196/195, supporting 13-limit mosura. It tempers out the orgonisma, and on the 2.7.11 subgroup it supports <a class="wiki_link" href="/Orgonia">orgone temperament</a>.<br /> | ||
<br /> | <br /> | ||
A promising tuning which has, as many relatively large equal temperaments do, a variety of tonal resources: it is the first edo to have both a light meantone and an orgone temperament. It has relatively good approximations of the 3rd, 7th, 11th, 13th, 15th, 17th harmonics, although the 5th, 9th, and 19th as well as certain higher ones are workable as well. 33+34 can be used to construct this temperament explaining some of its properties.<br /> | A promising tuning which has, as many relatively large equal temperaments do, a variety of tonal resources: it is the first edo to have both a light meantone and an orgone temperament. It has relatively good approximations of the 3rd, 7th, 11th, 13th, 15th, 17th harmonics, although the 5th, 9th, and 19th as well as certain higher ones are workable as well. 33+34 can be used to construct this temperament explaining some of its properties.<br /> | ||
Revision as of 15:24, 17 November 2011
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author genewardsmith and made on 2011-11-17 15:24:51 UTC.
- The original revision id was 276673326.
- 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:
67 equal divisions of the octave divides the octave into 67 equal parts of 17.910 cents each. It tempers out 81/80, supporting meantone temperament, with a tuning which is approximately 1/6 comma, or 0.16 comma, meantone. In the 7-limit the patent val tempers out 1029/1024 and 1728/1715, so that it supports [[Meantone family|mothra temperament]]. In the 11-limit it tempers out 176/175 and 540/539, supporting mosura, an alternative 11-limit mothra. In the 13-limit it tempers out 144/143 and 196/195, supporting 13-limit mosura. It tempers out the orgonisma, and on the 2.7.11 subgroup it supports [[Orgonia|orgone temperament]]. A promising tuning which has, as many relatively large equal temperaments do, a variety of tonal resources: it is the first edo to have both a light meantone and an orgone temperament. It has relatively good approximations of the 3rd, 7th, 11th, 13th, 15th, 17th harmonics, although the 5th, 9th, and 19th as well as certain higher ones are workable as well. 33+34 can be used to construct this temperament explaining some of its properties. 0: 1/1 0.000 unison, perfect prime 1: 17.910 cents 17.910 2: 35.821 cents 35.821 3: 53.731 cents 53.731 4: 71.642 cents 71.642 5: 89.552 cents 89.552 6: 107.463 cents 107.463 7: 125.373 cents 125.373 8: 143.284 cents 143.284 9: 161.194 cents 161.194 10: 179.104 cents 179.104 11: 197.015 cents 197.015 12: 214.925 cents 214.925 13: 232.836 cents 232.836 14: 250.746 cents 250.746 15: 268.657 cents 268.657 16: 286.567 cents 286.567 17: 304.478 cents 304.478 18: 322.388 cents 322.388 19: 340.299 cents 340.299 20: 358.209 cents 358.209 21: 376.119 cents 376.119 22: 394.030 cents 394.030 23: 411.940 cents 411.940 24: 429.851 cents 429.851 25: 447.761 cents 447.761 26: 465.672 cents 465.672 27: 483.582 cents 483.582 28: 501.493 cents 501.493 29: 519.403 cents 519.403 30: 537.313 cents 537.313 31: 555.224 cents 555.224 32: 573.134 cents 573.134 33: 591.045 cents 591.045 34: 608.955 cents 608.955 35: 626.866 cents 626.866 36: 644.776 cents 644.776 37: 662.687 cents 662.687 38: 680.597 cents 680.597 39: 698.507 cents 698.507 40: 716.418 cents 716.418 41: 734.328 cents 734.328 42: 752.239 cents 752.239 43: 770.149 cents 770.149 44: 788.060 cents 788.060 45: 805.970 cents 805.970 46: 823.881 cents 823.881 47: 841.791 cents 841.791 48: 859.701 cents 859.701 49: 877.612 cents 877.612 50: 895.522 cents 895.522 51: 913.433 cents 913.433 52: 931.343 cents 931.343 53: 949.254 cents 949.254 54: 967.164 cents 967.164 55: 985.075 cents 985.075 56: 1002.985 cents 1002.985 57: 1020.896 cents 1020.896 58: 1038.806 cents 1038.806 59: 1056.716 cents 1056.716 60: 1074.627 cents 1074.627 61: 1092.537 cents 1092.537 62: 1110.448 cents 1110.448 63: 1128.358 cents 1128.358 64: 1146.269 cents 1146.269 65: 1164.179 cents 1164.179 66: 1182.090 cents 1182.090 67: 2/1 1200.000 octave
Original HTML content:
<html><head><title>67edo</title></head><body>67 equal divisions of the octave divides the octave into 67 equal parts of 17.910 cents each. It tempers out 81/80, supporting meantone temperament, with a tuning which is approximately 1/6 comma, or 0.16 comma, meantone. In the 7-limit the patent val tempers out 1029/1024 and 1728/1715, so that it supports <a class="wiki_link" href="/Meantone%20family">mothra temperament</a>. In the 11-limit it tempers out 176/175 and 540/539, supporting mosura, an alternative 11-limit mothra. In the 13-limit it tempers out 144/143 and 196/195, supporting 13-limit mosura. It tempers out the orgonisma, and on the 2.7.11 subgroup it supports <a class="wiki_link" href="/Orgonia">orgone temperament</a>.<br /> <br /> A promising tuning which has, as many relatively large equal temperaments do, a variety of tonal resources: it is the first edo to have both a light meantone and an orgone temperament. It has relatively good approximations of the 3rd, 7th, 11th, 13th, 15th, 17th harmonics, although the 5th, 9th, and 19th as well as certain higher ones are workable as well. 33+34 can be used to construct this temperament explaining some of its properties.<br /> <br /> 0: 1/1 0.000 unison, perfect prime<br /> 1: 17.910 cents 17.910<br /> 2: 35.821 cents 35.821<br /> 3: 53.731 cents 53.731<br /> 4: 71.642 cents 71.642<br /> 5: 89.552 cents 89.552<br /> 6: 107.463 cents 107.463<br /> 7: 125.373 cents 125.373<br /> 8: 143.284 cents 143.284<br /> 9: 161.194 cents 161.194<br /> 10: 179.104 cents 179.104<br /> 11: 197.015 cents 197.015<br /> 12: 214.925 cents 214.925<br /> 13: 232.836 cents 232.836<br /> 14: 250.746 cents 250.746<br /> 15: 268.657 cents 268.657<br /> 16: 286.567 cents 286.567<br /> 17: 304.478 cents 304.478<br /> 18: 322.388 cents 322.388<br /> 19: 340.299 cents 340.299<br /> 20: 358.209 cents 358.209<br /> 21: 376.119 cents 376.119<br /> 22: 394.030 cents 394.030<br /> 23: 411.940 cents 411.940<br /> 24: 429.851 cents 429.851<br /> 25: 447.761 cents 447.761<br /> 26: 465.672 cents 465.672<br /> 27: 483.582 cents 483.582<br /> 28: 501.493 cents 501.493<br /> 29: 519.403 cents 519.403<br /> 30: 537.313 cents 537.313<br /> 31: 555.224 cents 555.224<br /> 32: 573.134 cents 573.134<br /> 33: 591.045 cents 591.045<br /> 34: 608.955 cents 608.955<br /> 35: 626.866 cents 626.866<br /> 36: 644.776 cents 644.776<br /> 37: 662.687 cents 662.687<br /> 38: 680.597 cents 680.597<br /> 39: 698.507 cents 698.507<br /> 40: 716.418 cents 716.418<br /> 41: 734.328 cents 734.328<br /> 42: 752.239 cents 752.239<br /> 43: 770.149 cents 770.149<br /> 44: 788.060 cents 788.060<br /> 45: 805.970 cents 805.970<br /> 46: 823.881 cents 823.881<br /> 47: 841.791 cents 841.791<br /> 48: 859.701 cents 859.701<br /> 49: 877.612 cents 877.612<br /> 50: 895.522 cents 895.522<br /> 51: 913.433 cents 913.433<br /> 52: 931.343 cents 931.343<br /> 53: 949.254 cents 949.254<br /> 54: 967.164 cents 967.164<br /> 55: 985.075 cents 985.075<br /> 56: 1002.985 cents 1002.985<br /> 57: 1020.896 cents 1020.896<br /> 58: 1038.806 cents 1038.806<br /> 59: 1056.716 cents 1056.716<br /> 60: 1074.627 cents 1074.627<br /> 61: 1092.537 cents 1092.537<br /> 62: 1110.448 cents 1110.448<br /> 63: 1128.358 cents 1128.358<br /> 64: 1146.269 cents 1146.269<br /> 65: 1164.179 cents 1164.179<br /> 66: 1182.090 cents 1182.090<br /> 67: 2/1 1200.000 octave</body></html>