6240321451/6220800000: Difference between revisions

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This [[13-limit]] [[No-elevens subgroup temperaments|no-11]] comma is the difference between the eighth harmonic ([[8/1]]) and a stack of five [[91/60]]<nowiki/>s (a close approximation of [[5edo]]'s perfect fifth). Tempering out this comma leads to [[5edo]].
{{Infobox interval
 
| Comma = Yes
{{Infobox interval|Comma=Yes}}
}}
[https://scaleworkshop.plainsound.org/scale/vUtX7Uzv6 How to generate this comma]
This [[13-limit]] (specifically [[2.3.5.7.13 subgroup|2.3.5.7.13-subgroup]]) [[comma]] is the difference between the eighth harmonic ([[8/1]]) and a stack of five [[91/60]]'s (a close approximation of [[5edo]]'s perfect fifth).

Latest revision as of 11:56, 13 December 2025

Interval information
Ratio 6240321451/6220800000
Factorization 2-13 × 3-5 × 5-5 × 75 × 135
Monzo [-13 -5 -5 5 0 5
Size in cents 5.424268¢
Name(s) missing ? 
FJS name [math]\displaystyle{ \text{8d5}^{7,7,7,7,7,13,13,13,13,13}_{5,5,5,5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 65.0734
Weil norm (log2 max(n, d)) 65.0779
Wilson norm (sopfr(nd)) 166
Comma size small
Open this interval in xen-calc

This 13-limit (specifically 2.3.5.7.13-subgroup) comma is the difference between the eighth harmonic (8/1) and a stack of five 91/60's (a close approximation of 5edo's perfect fifth).