35/32: Difference between revisions
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'''35/32''', the '''septimal neutral second''', is approximately half of a [[6/5]] just minor third; (6/5)/(35/32)<sup>2</sup> = [[6144/6125]], the porwell comma. It is the interval between [[8/7]] and [[5/4]]. It is 385/384 sharp of [[12/11]], and tempering it out makes the interval from 8/7 to 5/4 a 12/11, and leads to [[keenanismic chords]], interpreting [[48/35]] as [[11/8]]. It is also [[176/175]] flat of [[11/10]], and tempering that out instead leads to [[valinorsmic chords]] and interprets 48/35 as [[15/11]]. | '''35/32''', the '''septimal neutral second''', is approximately half of a [[6/5]] just minor third; (6/5)/(35/32)<sup>2</sup> = [[6144/6125]], the porwell comma. It is the interval between [[8/7]] and [[5/4]]. It is 385/384 sharp of [[12/11]], and tempering it out makes the interval from 8/7 to 5/4 a 12/11, and leads to [[keenanismic chords]], interpreting [[48/35]] as [[11/8]]. It is also [[176/175]] flat of [[11/10]], and tempering that out instead leads to [[valinorsmic chords]] and interprets 48/35 as [[15/11]]. | ||
It is very closely approximated by [[31edo| | It is very closely approximated by [[31edo|4\31]], being just 0.3 [[cents]] sharp of that interval. | ||
== See also == | == See also == | ||
Latest revision as of 22:17, 31 March 2025
| Interval information |
reduced harmonic
[sound info]
35/32, the septimal neutral second, is approximately half of a 6/5 just minor third; (6/5)/(35/32)2 = 6144/6125, the porwell comma. It is the interval between 8/7 and 5/4. It is 385/384 sharp of 12/11, and tempering it out makes the interval from 8/7 to 5/4 a 12/11, and leads to keenanismic chords, interpreting 48/35 as 11/8. It is also 176/175 flat of 11/10, and tempering that out instead leads to valinorsmic chords and interprets 48/35 as 15/11.
It is very closely approximated by 4\31, being just 0.3 cents sharp of that interval.