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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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3
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1, 3, 9, 27, 41, 58, 87, 111, 149, 217, 282, 388, 1323, 1600, 2554, 17461
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| 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
| 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
| Cf. A116474, A117577, A117578.
Sequence in context: A045580 A070361 A056024 * A163791 A057829 A181047
Adjacent sequences: A116472 A116473 A116474 * A116476 A116477 A116478
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KEYWORD
| nonn
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AUTHOR
| Keenan Pepper (keenanpepper(AT)gmail.com), Mar 17 2006
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EXTENSIONS
| More terms from Gene Ward Smith (genewardsmith(AT)gmail.com), Mar 29 2006
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