AFDO: Difference between revisions

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'''ADO''' (arithmetic divisions of the octave) is a tuning system which divides the octave arithmetically rather than logarithmically. For any C-ADO system, the m-th degree is equal to the ratio (C+m)/C. For example, in [[12ado]] the first degree is [[13/12]], the second is 14/12 ([[7/6]]), and so on. For an ADO system, the distance between interval ratios is equal, rather than the distance between their logarithms like in EDO systems. All ADOs are subsets of [[just intonation]]. ADOs with more divisors such as [[Highly_composite_equal_division|highly composite]] ADOs generally have more useful just intervals.

An '''ADO''' ('''arithmetic divisions of the octave''') or '''EFDO''' ('''equal frequency division of the octave''') is a [[period]]ic [[tuning system]] which divides the [[octave]] arithmetically rather than logarithmically.

For any ''C''-ADO system, the ''m''-th degree is equal to the ratio (''C'' + ''m'')/''C''. For example, in [[12ado]] the first degree is [[13/12]], the second is 14/12 ([[7/6]]), and so on. For an ADO system, the distance between interval ratios is equal, rather than the distance between their logarithms like in EDO systems. All ADOs are subsets of [[just intonation]]. ADOs with more divisors such as [[Highly_composite_equal_division|highly composite]] ADOs generally have more useful just intervals.

If the first division is <math>R_1</math> (which is ratio of C/C) and the last , <math>R_n</math> (which is ratio of 2C/C), with common difference of d

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[[Category:ADO]]

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-'''ADO''' (arithmetic divisions of the octave) is a tuning system which divides the octave arithmetically rather than logarithmically.  For any C-ADO system, the m-th degree is equal to the ratio (C+m)/C. For example, in [[12ado]] the first degree is [[13/12]], the second is 14/12 ([[7/6]]), and so on. For an ADO system, the distance between interval ratios is equal, rather than the distance between their logarithms like in EDO systems. All ADOs are subsets of [[just intonation]]. ADOs with more divisors such as [[Highly_composite_equal_division|highly composite]] ADOs generally have more useful just intervals.
+An '''ADO''' ('''arithmetic divisions of the octave''') or '''EFDO''' ('''equal frequency division of the octave''') is a [[period]]ic [[tuning system]] which divides the [[octave]] arithmetically rather than logarithmically.
+For any ''C''-ADO system, the ''m''-th degree is equal to the ratio (''C'' + ''m'')/''C''. For example, in [[12ado]] the first degree is [[13/12]], the second is 14/12 ([[7/6]]), and so on. For an ADO system, the distance between interval ratios is equal, rather than the distance between their logarithms like in EDO systems. All ADOs are subsets of [[just intonation]]. ADOs with more divisors such as [[Highly_composite_equal_division|highly composite]] ADOs generally have more useful just intervals.
 If the first division is <math>R_1</math> (which is ratio of C/C) and the last , <math>R_n</math> (which is ratio of 2C/C), with common difference of d
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 [[Category:ADO]]
+{{Todo| cleanup }}