135/128: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Icon =
| Ratio = 135/128
| Ratio = 135/128
| Monzo = -7 3 1
| Monzo = -7 3 1
| Cents = 92.17872
| Cents = 92.17872
| Name = pelogic comma, <br> major limma, <br> major chroma
| Name = pelogic comma, <br> major limma, <br> major chroma
| Color name = Ly1, layo unison,<br>Layobi comma
| Color name = Ly1, layo unison,<br>Layobi comma
| FJS name = A1<sup>5</sup>
| FJS name = A1<sup>5</sup>
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}}
}}


The 5-limit interval '''135/128''', about 92.2 [[cent]]s in size, is called the '''pelogic comma''', '''major limma''' or '''major chroma'''. It is a [[syntonic comma]] away from the pythagorean major semitone [[2187/2048]], and so is tuned justly in 1/7 comma meantone. Flattening by another syntonic comma reaches the even simpler [[25/24]].
The [[5-limit]] interval '''135/128''', about 92.2 [[cent]]s in size, is called the '''pelogic comma''', '''major limma''' or '''major chroma'''. It is a [[syntonic comma]] away from the pythagorean major semitone [[2187/2048]], and so is tuned justly in 1/7 comma meantone. Flattening by another syntonic comma reaches the even simpler [[25/24]].


As a [[comma]] it represents the difference between three [[4/3|perfect fourths]] and a [[5/4|just major third]] (plus an [[octave]]).
As a [[comma]] it represents the difference between three [[4/3|perfect fourths]] and a [[5/4|just major third]] (plus an [[octave]]).
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[[Category:5-limit]]
[[Category:5-limit]]
[[Category:Interval ratio]]
[[Category:Medium commas]]
[[Category:Medium commas]]
[[Category:Semitone]]
[[Category:Semitone]]
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[[Category:Pelogic]]
[[Category:Pelogic]]
[[Category:Meantone]]
[[Category:Meantone]]
[[Category:Todo:expand]]
 
{{todo|expand}}

Revision as of 13:10, 21 March 2022

Interval information
Ratio 135/128
Factorization 2-7 × 33 × 5
Monzo [-7 3 1
Size in cents 92.17872¢
Names pelogic comma,
major limma,
major chroma
Color name Ly1, layo unison,
Layobi comma
FJS name [math]\displaystyle{ \text{A1}^{5} }[/math]
Special properties reduced,
reduced harmonic
Tenney height (log2 nd) 14.0768
Weil height (log2 max(n, d)) 14.1536
Wilson height (sopfr(nd)) 28

[sound info]
Open this interval in xen-calc

The 5-limit interval 135/128, about 92.2 cents in size, is called the pelogic comma, major limma or major chroma. It is a syntonic comma away from the pythagorean major semitone 2187/2048, and so is tuned justly in 1/7 comma meantone. Flattening by another syntonic comma reaches the even simpler 25/24.

As a comma it represents the difference between three perfect fourths and a just major third (plus an octave).

See also