128/121: Difference between revisions

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'''128/121''', the '''Alpharabian diatonic semitone''', or '''octave-reduced 121st subharmonic''', is an [[11-limit]] semitone with a value of roughly 97.36412 cents.  As the name "Alpharabian diatonic semitone" suggests, it acts as the diatonic counterpart to the [[1089/1024]], with the two intervals adding up to a [[9/8]] whole tone.
'''128/121''', the '''Alpharabian diatonic semitone''', or '''octave-reduced 121st subharmonic''', is an [[11-limit]] semitone with a value of roughly 97.36412 cents.  As the name "Alpharabian diatonic semitone" suggests, it acts as the diatonic counterpart to the [[1089/1024]], with the two intervals adding up to a [[9/8]] whole tone. Furthermore its status as a semitone can be verified by the fact that just as a diatonic semitone and a chromatic semitone add up to make a whole tone, a similar pairing of quartertones- namely [[4096/3993]] and [[33/32]], add up to 121/128.
 
== See also ==
* [[121/64]] – its [[octave complement]]


[[Category:11-limit]]
[[Category:11-limit]]

Revision as of 18:32, 27 October 2020

Interval information
Ratio 128/121
Factorization 27 × 11-2
Monzo [7 0 0 0 -2
Size in cents 97.36412¢
Names Alpharabian diatonic semitone,
octave-reduced 121st subharmonic
FJS name [math]\displaystyle{ \text{M2}_{121} }[/math]
Special properties reduced,
reduced subharmonic
Tenney height (log2 nd) 13.9189
Weil height (log2 max(n, d)) 14
Wilson height (sopfr(nd)) 36

[sound info]
Open this interval in xen-calc

128/121, the Alpharabian diatonic semitone, or octave-reduced 121st subharmonic, is an 11-limit semitone with a value of roughly 97.36412 cents. As the name "Alpharabian diatonic semitone" suggests, it acts as the diatonic counterpart to the 1089/1024, with the two intervals adding up to a 9/8 whole tone. Furthermore its status as a semitone can be verified by the fact that just as a diatonic semitone and a chromatic semitone add up to make a whole tone, a similar pairing of quartertones- namely 4096/3993 and 33/32, add up to 121/128.

See also