1089/1024

Interval information

Ratio	1089/1024
Factorization	2-10 × 32 × 112
Monzo	[-10 2 0 0 2⟩
Size in cents	106.5459¢
Name	Alpharabian chromatic semitone
FJS name	[math]\displaystyle{ \text{P1}^{121} }[/math]
Special properties	reduced, reduced harmonic
Tenney height (log2 nd)	20.0888
Weil height (log2 max(n, d))	20.1776
Wilson height (sopfr(nd))	48
[sound info]
Open this interval in xen-calc

1089/1024, the Alpharabian chromatic semitone, is the interval that results from stacking two 33/32 quartertones together, and has a value of roughly 106.54589 cents. Because of its complexity and its relative obscurity, it is often equated to other nearby intervals through the tempering out of commas like 243/242 and or 1089/1088. When this interval is added together with 128/121, the result is a 9/8 whole tone.