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Search: id:A116475
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| A116475 |
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Equal divisions of the octave with progressively increasing consistency limits and distinct approximations for all the ratios in the tonality diamond of that limit. |
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4
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| 1, 3, 9, 27, 41, 58, 87, 111, 149, 217, 282, 388, 1323, 1600, 2554, 17461
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Since the 1-division is distinct and consistent in the 1-limit, the sequence starts there. From a purely musical point of view one might prefer to began the sequence at 3. - Gene Ward Smith (genewardsmith(AT)gmail.com), Mar 29 2006
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EXAMPLE
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9-EDO is consistent and distinct through the 5 limit because 6/5, 5/4, 4/3, 3/2, 8/5, and 5/3 map to 2, 3, 4, 5, 6, and 7 steps respectively, and all the compositions of those intervals are consistent.
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CROSSREFS
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Cf. A116474, A117577, A117578.
Adjacent sequences: A116472 A116473 A116474 this_sequence A116476 A116477 A116478
Sequence in context: A045580 A070361 A056024 this_sequence A057829 A014948 A093665
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KEYWORD
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nonn
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AUTHOR
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Keenan Pepper (keenanpepper(AT)gmail.com), Mar 17 2006
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EXTENSIONS
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More terms from Gene Ward Smith (genewardsmith(AT)gmail.com), Mar 29 2006
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