AFDO: Difference between revisions

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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.

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.

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	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.		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.		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.