Pseudovishnuzma: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Aura (talk | contribs)
No edit summary
Eliora (talk | contribs)
explain more specifically what the name is for - not just due to structural similarity of 14 5/4s against a tritone, but also the similarity and ease of confusion in decimal notation, hence the prefix "pseudo-"
 
(3 intermediate revisions by 3 users not shown)
Line 1: Line 1:
{{Infobox Interval
{{Infobox Interval
|Ratio = 6106906624/6103515625
| Ratio = 6106906624/6103515625
|Name = pseudovishnuzma
| Name = pseudovishnuzma
|Comma = yes
| Color name = ss3ozg<sup>14</sup>5, sasa-thozosepbigu 5th
| Comma = yes
}}
}}
The '''pseudovishnuzma''', with a ratio of '''6106906624/6103515625''', is an interval which is the difference between a stack of fourteen classical major thirds ([[5/4]]) and the larger huntmic tritone ([[91/64]]). Compare the [[vishnuzma]], which sets 14 5/4s equal to 729/512.
The '''pseudovishnuzma''' (ratio: 6106906624/6103515625) is a 13-limit interval which is the difference between a stack of fourteen classical major thirds ([[5/4]]) and the larger huntmic tritone ([[91/64]]).  
 
It was named due to its similarity but nonetheless the difference from the [[vishnuzma]], which separates a stack of fourteen 5/4's from [[729/512]].  
 
The key reason, more specifically, for naming the comma "pseudovishnuzma" is that the decimal expressions of the ratios read very similarly, meaning it can be easily confused with the vishnuzma in written text. Pseudovishnusma is 6106906624/6103515625, while the vishnuzma is 6115295232/6103515625.
 
[[Category:Pseudovishnuzmic]]
[[Category:Commas named for their regular temperament properties]]

Latest revision as of 23:45, 31 July 2026

Interval information
Ratio 6106906624/6103515625
Factorization 226 × 5-14 × 7 × 13
Monzo [26 0 -14 1 0 1
Size in cents 0.9615741¢
Name pseudovishnuzma
Color name ss3ozg145, sasa-thozosepbigu 5th
FJS name [math]\displaystyle{ \text{9d5}^{7,13}_{5,5,5,5,5,5,5,5,5,5,5,5,5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 65.0148
Weil norm (log2 max(n, d)) 65.0156
Wilson norm (sopfr(nd)) 142
Comma size unnoticeable
Open this interval in xen-calc

The pseudovishnuzma (ratio: 6106906624/6103515625) is a 13-limit interval which is the difference between a stack of fourteen classical major thirds (5/4) and the larger huntmic tritone (91/64).

It was named due to its similarity but nonetheless the difference from the vishnuzma, which separates a stack of fourteen 5/4's from 729/512.

The key reason, more specifically, for naming the comma "pseudovishnuzma" is that the decimal expressions of the ratios read very similarly, meaning it can be easily confused with the vishnuzma in written text. Pseudovishnusma is 6106906624/6103515625, while the vishnuzma is 6115295232/6103515625.