User:Hotcrystal0/43-15-comma: Difference between revisions

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The '''43-15-comma''' is the amount by which 43 [[16/15]] diatonic semitones exceed 4 octaves. It is close to one step of [[270edo]].
The '''43-15-comma''' is the amount by which 43 [[16/15]] diatonic semitones exceed 4 octaves. It is very close to one step of [[270edo]].


==Temperaments==
==Temperaments==


Tempering out the 43-15-comma splits the octave into 43 equal parts and maps 16/15 to 4\43. It is tempered out in temperaments such as [[meridic]].
Tempering out the 43-15-comma splits the octave into 43 equal parts and maps 16/15 to 4\43. It is tempered out in temperaments such as [[meridic]].

Revision as of 18:10, 29 January 2026

Interval information
Factorization 2168 × 3-43 × 5-43
Monzo [168 -43 -43
Size in cents 4.445267¢
Name 43-15-comma
FJS name [math]\displaystyle{ \text{30d16}_{5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5} }[/math]
Special properties reduced,
reduced subharmonic
Tenney norm (log2 nd) 335.996
Weil norm (log2 max(n, d)) 336
Wilson norm (sopfr(nd)) 680
Comma size small
Open this interval in xen-calc

The 43-15-comma is the amount by which 43 16/15 diatonic semitones exceed 4 octaves. It is very close to one step of 270edo.

Temperaments

Tempering out the 43-15-comma splits the octave into 43 equal parts and maps 16/15 to 4\43. It is tempered out in temperaments such as meridic.