Submerged comma: Difference between revisions

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The '''submerged comma''' represents the difference between 11 [[5/4]]s (octave-reduced) and [[4/3]], or 10 5/4s (octave-reduced) and [[16/15]].
The '''submerged comma''' is a [[large comma|large]] [[5-limit]] [[comma]] which represents the difference between a stack of eleven [[5/4]]'s octave reduced and [[4/3]]. Equivalently, it is the difference between a stack of ten 5/4's octave reduced and [[16/15]], or between a stack of twelve 5/4's octave reduced and [[5/3]].  
==Temperaments==
 
Tempering this out in the [[5-limit]] leads to the [[submerged]] temperament.
== Temperaments ==
[[Tempering out]] this comma in the [[5-limit]] leads to the [[submerged]] temperament.
 
[[Category:Submerged]]

Latest revision as of 10:33, 8 November 2025

Interval information
Ratio 146484375/134217728
Factorization 2-27 × 3 × 511
Monzo [-27 1 11
Size in cents 151.4059¢
Name submerged comma
FJS name [math]\displaystyle{ \text{6d}{-3}^{5,5,5,5,5,5,5,5,5,5,5} }[/math]
Special properties reduced,
reduced harmonic
Tenney norm (log2 nd) 54.1262
Weil norm (log2 max(n, d)) 54.2523
Wilson norm (sopfr(nd)) 112
Comma size large
Open this interval in xen-calc

The submerged comma is a large 5-limit comma which represents the difference between a stack of eleven 5/4's octave reduced and 4/3. Equivalently, it is the difference between a stack of ten 5/4's octave reduced and 16/15, or between a stack of twelve 5/4's octave reduced and 5/3.

Temperaments

Tempering out this comma in the 5-limit leads to the submerged temperament.