Escapade comma: Difference between revisions

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{{Infobox Interval
| Monzo = 32 -7 -9
| Name = escapade comma
| Comma = yes
}}
The '''escapade comma''', {{monzo| 32 -7 -9 }}, is a [[comma]] with a size of 9.492 [[cent]]s. It is the difference between nine [[5/4|just major thirds]] and seven [[4/3|just perfect fourths]], that is, (4/3)<sup>7</sup>/(5/4)<sup>9</sup>. This can also be written as (16/15)<sup>7</sup>/(5/4)<sup>2</sup>, that is, the difference between a stack of seven [[16/15]]'s and [[25/16]].
The '''escapade comma''', {{monzo| 32 -7 -9 }}, is a [[comma]] with a size of 9.492 [[cent]]s. It is the difference between nine [[5/4|just major thirds]] and seven [[4/3|just perfect fourths]], that is, (4/3)<sup>7</sup>/(5/4)<sup>9</sup>. This can also be written as (16/15)<sup>7</sup>/(5/4)<sup>2</sup>, that is, the difference between a stack of seven [[16/15]]'s and [[25/16]].


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* [[Small comma]]
* [[Small comma]]


[[Category:5-limit]]
[[Category:Small commas]]
[[Category:Escapade]]
[[Category:Escapade]]

Revision as of 16:08, 27 October 2022

Interval information
Factorization 232 × 3-7 × 5-9
Monzo [32 -7 -9
Size in cents 9.491569¢
Name escapade comma
FJS name [math]\displaystyle{ \text{6d4}_{5,5,5,5,5,5,5,5,5} }[/math]
Special properties reduced,
reduced subharmonic
Tenney height (log2 nd) 63.9921
Weil height (log2 max(n, d)) 64
Wilson height (sopfr(nd)) 130
Comma size small
Open this interval in xen-calc

The escapade comma, [32 -7 -9, is a comma with a size of 9.492 cents. It is the difference between nine just major thirds and seven just perfect fourths, that is, (4/3)7/(5/4)9. This can also be written as (16/15)7/(5/4)2, that is, the difference between a stack of seven 16/15's and 25/16.

Temperaments

The escapade family tempers out this comma.

See also