1089/1024

Interval information

Ratio	1089/1024
Factorization	2-10 × 32 × 112
Monzo	[-10 2 0 0 2⟩
Size in cents	106.5459¢
Names	Parapotome, Alpharabian chromatic semitone
Color name	L1oo1, lalolo 1sn
FJS name	[math]\displaystyle{ \text{P1}^{11,11} }[/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
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.28005 bits
[sound info]
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1089/1024, the parapotome, also known as 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. The term "parapotome" is a derivation from the word "apotome" by means of the prefix "para-", and was coined in reference to this interval's functional resemblances to the more well-known 2187/2048. Because of its complexity and its relative obscurity, the parapotome 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.