Baseball: Difference between revisions
Wikispaces>MasonGreen1 **Imported revision 577079943 - Original comment: ** |
Wikispaces>MasonGreen1 **Imported revision 577080197 - 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:MasonGreen1|MasonGreen1]] and made on <tt>2016-03-09 22: | : This revision was by author [[User:MasonGreen1|MasonGreen1]] and made on <tt>2016-03-09 22:05:24 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>577080197</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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While baseball does not provide a good approximation of the Pythagorean whole tone (9:8) or the 7:9 supermajor third, it does provide good approximations of both 8:7 and 10:9. | While baseball does not provide a good approximation of the Pythagorean whole tone (9:8) or the 7:9 supermajor third, it does provide good approximations of both 8:7 and 10:9. | ||
Baseball also provides workable approximations of higher limits, too. In particular, since its generator is so close to 13:9, it does a lot of tridecimal intervals very well, and can approximate the barbados triad (10:13:15) with relative ease. Although not as close, the generator can also be taken as a 16:11. | Baseball also provides workable approximations of higher limits, too. In particular, since its generator is so close to 13:9, it does a lot of tridecimal intervals very well, and can approximate the barbados triad (10:13:15) with relative ease. Although not as close, the generator can also be taken as a 16:11 or as a 10:7. | ||
An example of a baseball[17] scale in which the fifths are exactly 715.5 cents wide is given below: | An example of a baseball[17] scale in which the fifths are exactly 715.5 cents wide is given below: | ||
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While baseball does not provide a good approximation of the Pythagorean whole tone (9:8) or the 7:9 supermajor third, it does provide good approximations of both 8:7 and 10:9.<br /> | While baseball does not provide a good approximation of the Pythagorean whole tone (9:8) or the 7:9 supermajor third, it does provide good approximations of both 8:7 and 10:9.<br /> | ||
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Baseball also provides workable approximations of higher limits, too. In particular, since its generator is so close to 13:9, it does a lot of tridecimal intervals very well, and can approximate the barbados triad (10:13:15) with relative ease. Although not as close, the generator can also be taken as a 16:11.<br /> | Baseball also provides workable approximations of higher limits, too. In particular, since its generator is so close to 13:9, it does a lot of tridecimal intervals very well, and can approximate the barbados triad (10:13:15) with relative ease. Although not as close, the generator can also be taken as a 16:11 or as a 10:7.<br /> | ||
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An example of a baseball[17] scale in which the fifths are exactly 715.5 cents wide is given below:<br /> | An example of a baseball[17] scale in which the fifths are exactly 715.5 cents wide is given below:<br /> | ||