Baseball: Difference between revisions
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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: | ||
<pre> | |||
0 | 0 | ||
77 | 77 | ||
154 | 154 | ||
231 | 231 | ||
308 | 308 | ||
385 | 385 | ||
462 | 462 | ||
539 | 539 | ||
616 | 616 | ||
638.5 | 638.5 | ||
715.5 | 715.5 | ||
792.5 | 792.5 | ||
869.5 | 869.5 | ||
946.5 | 946.5 | ||
1023.5 | 1023.5 | ||
1100.5 | 1100.5 | ||
1177.5 | 1177.5 | ||
</pre> | |||
As can be seen, all steps are 77 cents wide except for two much narrower (22.5 cent) steps. Baseball[17] is thus a 15L+2s scale. In this scale there are two different approximations of 6:5 (at 331.5 and 308 cents), and two of 5:4 (at 407.5 and 385 cents). The sharper of the two major thirds can also double as a 14:11, and the sharper minor third can also function as 11:9, depending on the context. The interval of 253.5 cents can function either as a flat 7:6 (for example, in the triad 6:7:8) or else as a 15:13. | As can be seen, all steps are 77 cents wide except for two much narrower (22.5 cent) steps. Baseball[17] is thus a 15L+2s scale. In this scale there are two different approximations of 6:5 (at 331.5 and 308 cents), and two of 5:4 (at 407.5 and 385 cents). The sharper of the two major thirds can also double as a 14:11, and the sharper minor third can also function as 11:9, depending on the context. The interval of 253.5 cents can function either as a flat 7:6 (for example, in the triad 6:7:8) or else as a 15:13. | ||
[[Category:Temperaments]] | |||
[[Category:47edo]] | [[Category:47edo]] | ||
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