35/32: Difference between revisions

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| Cents = 155.13962
| Cents = 155.13962
| Name = septimal neutral second
| Name = septimal neutral second
| Color name =  
| Color name = M2<sup>35</sup>
| Sound = jid_35_32_pluck_adu_dr220.mp3
| Sound = jid_35_32_pluck_adu_dr220.mp3
}}
}}


'''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]].
'''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]].


== See also ==
== See also ==

Revision as of 10:20, 28 October 2021

Interval information
Ratio 35/32
Factorization 2-5 × 5 × 7
Monzo [-5 0 1 1
Size in cents 155.1396¢
Name septimal neutral second
Color name M235
FJS name [math]\displaystyle{ \text{M2}^{5,7} }[/math]
Special properties reduced,
reduced harmonic
Tenney height (log2 nd) 10.1293
Weil height (log2 max(n, d)) 10.2586
Wilson height (sopfr(nd)) 22

[sound info]
Open this interval in xen-calc

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.

See also