1ed97.5c: Difference between revisions

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'''97.~~5cET~~''' is an [[equal-step tuning]] with steps of 97.5 [[cent]]s (or each 13th step of [[160edo]]). It approximates the 9th harmonic to within 2c, and may alternatively be tuned or conceived of as [[39ed9]]. It can also be ~~concieved~~ slightly less accurately as [[25ed4]]. In contrast to [[12edo]], which is very similar in step size, it is not considered to approximate the octave ([[2/1]]) or perfect fifth ([[3/2]]), and has a workable, but rather (~10.5c) flat approximation of the perfect fourth ([[4/3]]). It excels however in the 4/3.5/3.7/3.11/3.13/3.9 [[Just intonation subgroup|subgroup]], in which it tempers out [[64/63]], [[100/99]], [[275/273]], and [[325/324]], for example.

'''1 equal division of 97.5¢''' ('''1ed97.5c'''), also known as '''APS97.5¢''', is an [[equal-step tuning]] with steps of 97.5 [[cent]]s (or each 13th step of [[160edo]]). It approximates the 9th harmonic to within 2c, and may alternatively be tuned or conceived of as [[39ed9]]. It can also be conceived slightly less accurately as [[25ed4]]. In contrast to [[12edo]], which is very similar in step size, it is not considered to approximate the octave ([[2/1]]) or perfect fifth ([[3/2]]), and has a workable, but rather (~10.5c) flat approximation of the perfect fourth ([[4/3]]). It excels however in the 4/3.5/3.7/3.11/3.13/3.9 [[Just intonation subgroup|subgroup]], in which it tempers out [[64/63]], [[100/99]], [[275/273]], and [[325/324]], for example.

== Intervals ==

{| class="wikitable center-1 right-2"

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|9/1

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<nowiki>*</nowiki>some simpler ratios, based on treating 97.~~5cET~~ as a 4/3.5/3.7/3.11/3.13/3.9 subgroup temperament; other approaches are possible.

<nowiki>*</nowiki>some simpler ratios, based on treating 1ed97.5c as a 4/3.5/3.7/3.11/3.13/3.9 subgroup temperament; other approaches are possible.

== Music ==

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 {{Infobox ET|160ed8192}}
-'''97.5cET''' is an [[equal-step tuning]] with steps of 97.5 [[cent]]s (or each 13th step of [[160edo]]). It approximates the 9th harmonic to within 2c, and may alternatively be tuned or conceived of as [[39ed9]]. It can also be concieved slightly less accurately as [[25ed4]]. In contrast to [[12edo]], which is very similar in step size, it is not considered to approximate the octave ([[2/1]]) or perfect fifth ([[3/2]]), and has a workable, but rather (~10.5c) flat approximation of the perfect fourth ([[4/3]]). It excels however in the 4/3.5/3.7/3.11/3.13/3.9 [[Just intonation subgroup|subgroup]], in which it tempers out [[64/63]], [[100/99]], [[275/273]], and [[325/324]], for example.
+'''1 equal division of 97.5¢''' ('''1ed97.5c'''), also known as '''APS97.5¢''', is an [[equal-step tuning]] with steps of 97.5 [[cent]]s (or each 13th step of [[160edo]]). It approximates the 9th harmonic to within 2c, and may alternatively be tuned or conceived of as [[39ed9]]. It can also be conceived slightly less accurately as [[25ed4]]. In contrast to [[12edo]], which is very similar in step size, it is not considered to approximate the octave ([[2/1]]) or perfect fifth ([[3/2]]), and has a workable, but rather (~10.5c) flat approximation of the perfect fourth ([[4/3]]). It excels however in the 4/3.5/3.7/3.11/3.13/3.9 [[Just intonation subgroup|subgroup]], in which it tempers out [[64/63]], [[100/99]], [[275/273]], and [[325/324]], for example.
 == Intervals ==
 {| class="wikitable center-1 right-2"
@@ Line 143: / Line 143: @@
 |9/1
 |}
-<nowiki>*</nowiki>some simpler ratios, based on treating 97.5cET as a 4/3.5/3.7/3.11/3.13/3.9 subgroup temperament; other approaches are possible.
+<nowiki>*</nowiki>some simpler ratios, based on treating 1ed97.5c as a 4/3.5/3.7/3.11/3.13/3.9 subgroup temperament; other approaches are possible.
 == Music ==