1600/1573: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Clarify. Expand. Linking. Recategorize
Phlub (talk | contribs)
I fixed the link to my account name
 
Line 8: Line 8:


== Etymology ==
== Etymology ==
This comma was named by [[phlub]] in 2026 after the {{w|Florentine Camerata}}, the arts group that formed in 1573 and essentially invented {{w|opera}}. The oldest surviving opera manuscript is {{w|Euridice}} by {{w|Jacopo Peri}} in 1600.
This comma was named by [[User:Phlub|Phlub]] in 2026 after the {{w|Florentine Camerata}}, the arts group that formed in 1573 and essentially invented {{w|opera}}. The oldest surviving opera manuscript is {{w|Euridice}} by {{w|Jacopo Peri}} in 1600.


[[Category:Commas named for other reasons]]
[[Category:Commas named for other reasons]]

Latest revision as of 01:12, 6 August 2026

Interval information
Ratio 1600/1573
Factorization 26 × 52 × 11-2 × 13-1
Monzo [6 0 2 0 -2 -1
Size in cents 29.46388¢
Name cameratasma
FJS name [math]\displaystyle{ \text{AA1}^{5,5}_{11,11,13} }[/math]
Special properties reduced
Tenney norm (log2 nd) 21.2632
Weil norm (log2 max(n, d)) 21.2877
Wilson norm (sopfr(nd)) 57
Comma size small
Open this interval in xen-calc

The cameratasma is a small 13-limit comma. It is tempered out in 41edo among others. It represents the difference between 121/100 (a stack of two 11/10's) and 16/13, or between 121/64 (a stack of two 11/8's) and 25/13.

It factors into simpler commas as (100/99)⋅(144/143).

Etymology

This comma was named by Phlub in 2026 after the Florentine Camerata, the arts group that formed in 1573 and essentially invented opera. The oldest surviving opera manuscript is Euridice by Jacopo Peri in 1600.