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Interval information
Ratio 1089/1024
Factorization 2-10 × 32 × 112
Monzo [-10 2 0 0 2
Size in cents 106.54589¢
Names Parapotome,
Alpharabian chromatic semitone
Color name L1oo1, lalolo 1sn
FJS name [math]\text{P1}^{11,11}[/math]
Special properties reduced
Tenney height (log2 nd) 20.0888
Weil height (log2 max(n, d)) 20.1776
Wilson height (sopfr (nd)) 48
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.28005 bits

[sound info]
open this interval in xen-calc

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.