Tuning systems for qanun: Difference between revisions
Wikispaces>hstraub **Imported revision 245849353 - Original comment: ** |
Wikispaces>hstraub **Imported revision 245979829 - 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:hstraub|hstraub]] and made on <tt>2011-08- | : This revision was by author [[User:hstraub|hstraub]] and made on <tt>2011-08-15 02:28:27 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>245979829</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 whole table covers roughly the range of a fourth (the range where the ajnas - maqam tetrachords - reside). Each row corresponds to one string of the qanun. In the first column stands the basic (relative) tuning of a string while the following columns indicate possible intervals that can be reached via lowering the mandals/orabs. | The whole table covers roughly the range of a fourth (the range where the ajnas - maqam tetrachords - reside). Each row corresponds to one string of the qanun. In the first column stands the basic (relative) tuning of a string while the following columns indicate possible intervals that can be reached via lowering the mandals/orabs. | ||
The first table contains the cent values and the second the | The first table contains the cent values and the second the just intervals, sometimes differing between ascending and descending ratios. | ||
Any given configuration of mandal/orab positions, resulting in a certain set of pitches that can be played at a given time | Any given configuration of mandal/orab positions, resulting in a certain set of pitches that can be played at a given time | ||
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|| 498 || 520 || 533 || 546 || 558 || 574 || 590 || 612 || | || 498 || 520 || 533 || 546 || 558 || 574 || 590 || 612 || | ||
Interval table of just intervals (ascending, descending): | |||
|| 1/1 || 81/80 || 49/48 || 1053/1024 || 729/704 || 2673/2560 || 135/128 || 2187/2048 || | || 1/1 || 81/80 || 49/48 || 1053/1024 || 729/704 || 2673/2560 || 135/128 || 2187/2048 || | ||
|| 256/243 || 16/15 || 784/729, 128/119, 43/40 (asc.) | || 256/243 || 16/15 || 784/729, 128/119, 43/40 (asc.) | ||
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The whole table covers roughly the range of a fourth (the range where the ajnas - maqam tetrachords - reside). Each row corresponds to one string of the qanun. In the first column stands the basic (relative) tuning of a string while the following columns indicate possible intervals that can be reached via lowering the mandals/orabs.<br /> | The whole table covers roughly the range of a fourth (the range where the ajnas - maqam tetrachords - reside). Each row corresponds to one string of the qanun. In the first column stands the basic (relative) tuning of a string while the following columns indicate possible intervals that can be reached via lowering the mandals/orabs.<br /> | ||
<br /> | <br /> | ||
The first table contains the cent values and the second the | The first table contains the cent values and the second the just intervals, sometimes differing between ascending and descending ratios.<br /> | ||
<br /> | <br /> | ||
Any given configuration of mandal/orab positions, resulting in a certain set of pitches that can be played at a given time<br /> | Any given configuration of mandal/orab positions, resulting in a certain set of pitches that can be played at a given time<br /> | ||
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<br /> | <br /> | ||
Interval table of just intervals (ascending, descending):<br /> | |||