1089/1024
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Ratio | 1089/1024 |
Factorization | 2^{-10} × 3^{2} × 11^{2} |
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, reduced harmonic |
Tenney height (log_{2} nd) | 20.0888 |
Weil height (log_{2} 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.