Gravity family: Difference between revisions

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Gravity: Cleanup and link to syntonic-chromatic equivalence continuum
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=Gravity=
= Gravity =
The gravity family tempers out [[graviton|graviton]], the 5-limit comma 129140163/128000000 = |-13 17 -6>. The graviton equals (81/80)^4/(25/24), so that four 81/80 commas come to a chromatic semitone. The generator of gravity temperament is a grave fifth of 40/27, and hence the name. It is part of the Whitewood -> Mavila -> Dicot -> Porcupine -> Tetracot -> Amity -> ..... (Meantone) continuum, whereby (81/80)^n = 25/24.
The gravity family tempers out [[graviton]], the 5-limit comma 129140163/128000000 = {{monzo| -13 17 -6 }}. The graviton equals (81/80)<sup>4</sup>/(25/24), so that four 81/80 commas come to a classic chromatic semitone. The generator of gravity temperament is a grave fifth of [[40/27]], and hence the name. It is part of the [[syntonic-chromatic equivalence continuum]], whereby (81/80)<sup>''n''-2</sup> = 25/24.


Comma: 129140163/128000000
Comma: 129140163/128000000
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Map: [&lt;1 5 12|, &lt;0 -6 -17|]
Map: [&lt;1 5 12|, &lt;0 -6 -17|]


EDOs: [[7edo|7]], [[58edo|58]], [[65edo|65]], [[137edo|137]], [[202edo|202]], [[267edo|267]], [[469edo|469]]
EDOs: {{EDOs| 7, 58, 65, 137, 202, 267, 469 }}


Badness: 0.0932
Badness: 0.0932