AFDO: Difference between revisions

← Older edit Newer edit →

VisualWikitext

Revision as of 02:35, 11 April 2023 view source CompactStar (talk \| contribs) 5,020 edits m CompactStar moved page ADO to AFDO: Name is being changed to this as discussed in talk pages ← Older edit		Revision as of 02:35, 11 April 2023 view source CompactStar (talk \| contribs) 5,020 edits No edit summary Newer edit →
Line 1:		Line 1:
	An '''~~ADO~~''' ('''arithmetic divisions of the octave''') is a [[period]]ic [[tuning system]] which divides the [[octave]] according to an [[Wikipedia:Arithmetic_progression\|arithmetic progression]] of frequency.		An '''AFDO''' ('''arithmetic frequency divisions of the octave''') is a [[period]]ic [[tuning system]] which divides the [[octave]] according to an [[Wikipedia:Arithmetic_progression\|arithmetic progression]] of frequency.

	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 ''difference'' between interval ratios is equal (they form an arithmetic progression), rather than their ''ratios'' between interval ratios being equal as in EDO systems (a geometric progression). 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 example, in [[12ado]] the first degree is [[13/12]], the second is 14/12 ([[7/6]]), and so on. For an ADO system, the ''difference'' between interval ratios is equal (they form an arithmetic progression), rather than their ''ratios'' between interval ratios being equal as in EDO systems (a geometric progression). 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.