136/135: Difference between revisions

Godtone (talk | contribs)
m better style
Improve readability by preferring verbal descriptions to math expressions. Remove words like "deduce", "therefore" (which deduces which?) in favor of a focus on presenting facts.
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'''136/135''', the '''diatisma''', '''diatic comma''' or '''fiventeen comma''', is a [[17-limit]] [[small comma]]. It is equal to ([[32/27]])/([[20/17]]) and also ([[51/40]])/([[81/64]]). It is also the difference between [[16/15]] and [[18/17]] (which is easily deduced from its S-expression of [[256/255|S16]] * [[289/288|S17]]), and is therefore the difference between ([[17/16]])([[16/15]]) = [[17/15]] and ([[18/17]])([[17/16]]) = [[9/8]] as the two 17/16's cancel.
'''136/135''', the '''diatisma''', '''diatic comma''' or '''fiventeen comma''', is a [[17-limit]] [[small comma]]. It is the interval that separates [[17/10]] and [[27/16]] (or their octave complements [[20/17]] and [[32/27]]) and that separates [[30/17]] and [[16/9]] (or their octave complements [[17/15]] and [[9/8]]). It is also the difference between [[16/15]] and [[18/17]] with an [[S-expression]] of [[256/255|S16]] × [[289/288|S17]] or ((16/15)(17/16))/((17/16)(18/17)).  


== Temperaments ==
== Temperaments ==