1225/1224

Revision as of 19:19, 1 November 2021 by FloraC (talk | contribs) (+comma identities)
Interval information
Ratio 1225/1224
Factorization 2-3 × 3-2 × 52 × 72 × 17-1
Monzo [-3 -2 2 2 0 0 -1
Size in cents 1.413829¢
Name noema
FJS name [math]\displaystyle{ \text{A1}^{5,5,7,7}_{17} }[/math]
Special properties square superparticular,
reduced
Tenney height (log2 nd) 20.516
Weil height (log2 max(n, d)) 20.5171
Wilson height (sopfr(nd)) 53
Open this interval in xen-calc

1225/1224, the noema, is a 17-limit (also 2.3.5.7.17 subgroup) comma measuring about 1.41 cents. It is the difference between 35/34 and 36/35, and between 49/48 and 51/50.

In terms of commas, it is the difference between the following pairs:

It factors into the following pairs:

Temperaments

Tempering out this comma results in 18/17 being split into two equal parts, each representing 35/34~36/35, and enables the 25-odd-limit essentially tempered noemic chords.

See also