Grossmisma: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Xenllium (talk | contribs)
Created page with "{{Infobox Interval | Monzo = -30 -13 -1 1 7 7 | Name = grossmisma | Color name = 3o<sup>7</sup>1o<sup>7</sup>zg2, Septholo-azogu comma, <br>Septholo-azogu 2nd | Comma = yes }}..."
 
BudjarnLambeth (talk | contribs)
mNo edit summary
 
Line 10: Line 10:


[[Category:Grossmismic]]
[[Category:Grossmismic]]
[[Category:Commas with unknown etymology]]

Latest revision as of 03:35, 4 November 2024

Interval information
Factorization 2-30 × 3-13 × 5-1 × 7 × 117 × 137
Monzo [-30 -13 -1 1 7 7
Size in cents 0.01641029¢
Name grossmisma
Color name 3o71o7zg2, Septholo-azogu comma,
Septholo-azogu 2nd
FJS name [math]\displaystyle{ \text{7d2}^{7,11,11,11,11,11,11,11,13,13,13,13,13,13,13}_{5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 105.853
Weil norm (log2 max(n, d)) 105.853
Wilson norm (sopfr(nd)) 279
Comma size unnoticeable
Open this interval in xen-calc
Not to be confused with Grossma.

The grossmisma is an unnoticeable 13-limit comma with a ratio of 2-30 × 3-13 × 5-1 × 7 × 117 × 137 = 8559537565427849/8559456430325760 and a value of approximately 0.0164 cents. The grossmisma is significant on account of it being the interval between a stack of seven grossmas and one 21/20 chromatic semitone in Just Intonation - this significance in relation to grossma being the source of its name. Tempering it out leads to a form of grossmismic temperament.