89/88: Difference between revisions

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{{Novelty}}
{{Infobox Interval
{{Infobox Interval
| Name = sky comma
| Color name = 89o1u1
| Color name = 89o1u1
| Comma = yes
| Comma = yes
}}
}}


'''89/88''', a.k.a. the '''sky comma''', is an [[89-limit]] [[superparticular]] [[comma]] tempered out by two of the [[Batch 89 temperaments]]. Tempering out this comma equates the harmonics [[11/8]] and [[89/64]].
'''89/88''' is an [[89-limit]] [[superparticular]] [[comma]].


Tempering this comma on its own gives the sky temperament, a 2.11.89 [[subgroup]] temperament.
For [[Budjarn Lambeth]]’s idiosyncratic uses for this comma, see [[User:BudjarnLambeth/Tailwind comma]].


It is very well approximated by 1 step of [[36edf]].


[[Category:Commas named for other reasons]]
{{Stub}}

Latest revision as of 04:37, 30 July 2025

Interval information
Ratio 89/88
Subgroup monzo 2.11.89 [-3 -1 1⟩
Size in cents 19.56217¢
Name(s) missing ? 
Color name 89o1u1
FJS name [math]\displaystyle{ \text{A1}^{89}_{11} }[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 12.9352
Weil height (log2 max(n, d)) 12.9515
Wilson height (sopfr(nd)) 106
Comma size small
Open this interval in xen-calc

89/88 is an 89-limit superparticular comma.

For Budjarn Lambeth’s idiosyncratic uses for this comma, see User:BudjarnLambeth/Tailwind comma.


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