Vavoom comma: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Ratio = 295 578 376 007 080 078 125 /<br>295 147 905 179 352 825 856
| Ratio = 295 578 376 007 080 078 125 /<br>295 147 905 179 352 825 856
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The '''Vavoom comma''' is a [[5-limit]] comma, which manifests itself as the difference between a stack of seventeen classic diatonic semitones of [[16/15]] and a perfect twelfth of 3/1. Tempering it out in the 5-limit leads to the [[Vavoom family]] of temperaments.
The '''vavoom comma''' is a [[5-limit]] comma, which manifests itself as the difference between a stack of seventeen classic diatonic semitones of [[16/15]] and a perfect twelfth of 3/1. Tempering it out in the 5-limit leads to the [[vavoom family]] of temperaments.


When it is viewed as a comma in the 16.3.5 subgroup, the vavoom comma is tempered out in [[17edt]], since one step of 17edt is very close to 16/15.
== See also ==
== See also ==
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]


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[[Category:Commas with unknown etymology]]

Latest revision as of 13:30, 3 November 2024

Interval information
Ratio 295 578 376 007 080 078 125 /
295 147 905 179 352 825 856
Factorization 2-68 × 318 × 517
Monzo [-68 18 17
Size in cents 2.523151¢
Name Vavoom comma
Color name quinla-seyo negative 7th, L5y17-7
FJS name [math]\displaystyle{ \text{12d}{-7}^{5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5} }[/math]
Special properties reduced,
reduced harmonic
Tenney height (log2 nd) 136.002
Weil height (log2 max(n, d)) 136.004
Wilson height (sopfr(nd)) 275
Comma size unnoticeable
Open this interval in xen-calc

The vavoom comma is a 5-limit comma, which manifests itself as the difference between a stack of seventeen classic diatonic semitones of 16/15 and a perfect twelfth of 3/1. Tempering it out in the 5-limit leads to the vavoom family of temperaments.

When it is viewed as a comma in the 16.3.5 subgroup, the vavoom comma is tempered out in 17edt, since one step of 17edt is very close to 16/15.

See also