Schisma

Interval information

Ratio	32805/32768
Factorization	2-15 × 38 × 5
Monzo	[-15 8 1⟩
Size in cents	1.953721¢
Name	schisma
FJS name	[math]\displaystyle{ \text{d}{-2}^{5} }[/math]
Special properties	reduced, reduced harmonic
Tenney height (log2 nd)	30.0016
Weil height (log2 max(n, d))	30.0033
Wilson height (sopfr(nd))	59
Open this interval in xen-calc

The schisma, 32805/32768, is the difference between the Pythagorean comma and the syntonic comma. It is equal to (9/8)³/(64/45). Tempering it out gives a 5-limit microtemperament called schismatic, schismic or Hemholtz, which if extended to larger subgroups leads to the schismatic family of temperaments.

See also

• Unnoticeable comma
• Wikipedia: Schisma