1089/1024
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| 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{n\cdot d}[/math]) |
~4.63722 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.