Rodan comma: Difference between revisions

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The '''rodan comma''' ({{monzo|legend=1| 20 -17 3 }}, [[ratio]]: 131072000/129140163), otherwise known as the '''roda''', is a [[small comma|small]] [[5-limit]] [[comma]] of about 25.7 [[cent]]s. It is the difference between the [[256/243|Pythagorean diatonic semitone (256/243)]] and a stack of three [[syntonic comma]]s. Tempering it out leads to the 5-limit version of [[rodan]].
The '''rodan comma''' ({{monzo|legend=1| 20 -17 3 }}, [[ratio]]: 131072000/129140163), otherwise known as the '''roda''', is a [[small comma|small]] [[5-limit]] [[comma]] of about 25.7 [[cent]]s. As part of the [[syntonic–diatonic equivalence continuum]], it is the difference between the [[256/243|Pythagorean diatonic semitone (256/243)]] and a stack of three [[syntonic comma]]s. It is also the amount by which a stack of three [[729/640|acute whole tones (729/640)]] falls short of the [[3/2|perfect fifth]].  


== See also ==
== Temperaments ==
* [[Syntonic-diatonic equivalence continuum]]
{{see also|Syntonic–diatonic equivalence continuum#Rodan (5-limit) }}
[[Tempering out]] this comma leads to the 5-limit version of [[rodan]].


[[Category:Rodan]][[Category:Commas named after fictional characters]]
[[Category:Rodan]]
[[Category:Commas named after mythology or literature]]

Latest revision as of 18:59, 1 September 2025

Interval information
Ratio 131072000/129140163
Factorization 220 × 3-17 × 53
Monzo [20 -17 3
Size in cents 25.70613¢
Names rodan comma,
roda
Color name sasa-triyo 2nd, ssy32
FJS name [math]\displaystyle{ \text{m2}^{5,5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 53.9101
Weil norm (log2 max(n, d)) 53.9316
Wilson norm (sopfr(nd)) 106
Comma size small
Open this interval in xen-calc

The rodan comma (monzo[20 -17 3, ratio: 131072000/129140163), otherwise known as the roda, is a small 5-limit comma of about 25.7 cents. As part of the syntonic–diatonic equivalence continuum, it is the difference between the Pythagorean diatonic semitone (256/243) and a stack of three syntonic commas. It is also the amount by which a stack of three acute whole tones (729/640) falls short of the perfect fifth.

Temperaments

Tempering out this comma leads to the 5-limit version of rodan.