37-11-comma: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Eliora (talk | contribs)
that FJS name looks horrendous, does not improve understanding of this simple comma and worsens readability
Eliora (talk | contribs)
No edit summary
Line 4: Line 4:
|Color name = s<sup>5</sup>1u<sup>37</sup>9, quinsa-thiselu 9th
|Color name = s<sup>5</sup>1u<sup>37</sup>9, quinsa-thiselu 9th
|Comma = yes
|Comma = yes
|FJS Name = -
|FJS name = -
}}
}}
37-11-comma is a difference between a circle of 37 11/8s and 17 octaves.
37-11-comma is a difference between a circle of 37 11/8s and 17 octaves.
==Temperaments==
==Temperaments==
For edos N up to ~20000, it is tempered out if and only if 37 divides N. It is tempered out in miscellaneous [[37th-octave temperaments]], as well as in the 111th-octave temperament [[roentgenium]].
For edos N up to ~20000, it is tempered out if and only if 37 divides N. It is tempered out in miscellaneous [[37th-octave temperaments]], as well as in the 111th-octave temperament [[roentgenium]].

Revision as of 23:58, 7 September 2023

Interval information
Factorization 2128 × 11-37
Monzo [128 0 0 0 -37
Size in cents 1.236133¢
Name 37-11-comma
Color name s51u379, quinsa-thiselu 9th
FJS name [math]\displaystyle{ - }[/math]
Special properties reduced,
reduced subharmonic
Tenney height (log2 nd) 255.999
Weil height (log2 max(n, d)) 256
Wilson height (sopfr(nd)) 663
Comma size unnoticeable
Open this interval in xen-calc

37-11-comma is a difference between a circle of 37 11/8s and 17 octaves.

Temperaments

For edos N up to ~20000, it is tempered out if and only if 37 divides N. It is tempered out in miscellaneous 37th-octave temperaments, as well as in the 111th-octave temperament roentgenium.