1089/1024

Interval information

Ratio	1089/1024
Factorization	2-10 × 32 × 112
Monzo	[-10 2 0 0 2⟩
Size in cents	106.5459¢
Names	Alpharabian chromatic semitone, parapotome
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]
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1089/1024, the Alpharabian chromatic semitone, or parapotome, is the interval that results from stacking two 33/32 quartertones together, and has a value of roughly 106.54589 cents. The term "parapotome" is a derivation from the prefix "para-" and the word "apotome" that signifies this interval's functional parallels to the apotome. 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.