35/32: Difference between revisions

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'''35/32'''
{{Infobox Interval
|-5 0 1 1>
| Icon =
| Ratio = 35/32
| Monzo = -5 0 1 1
| Cents = 155.13962
| Name = septimal neutral second
| Color name =
| Sound = jid_35_32_pluck_adu_dr220.mp3
}}


155.1396 cents
155.1396 cents


[[File:jid_35_32_pluck_adu_dr220.mp3]] [[:File:jid_35_32_pluck_adu_dr220.mp3|sound sample]]
'''35/32''', the '''septimal neutral second''', is approximately half of a [[6/5|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|6/5]] just minor third; (6/5)/(35/32)^2 = 6144/6125, the [[porwell_comma|porwell comma]]. It is the interval between [[8/7|8/7]] and [[5/4|5/4]]. It is 385/384 sharp of [[12/11|12/11]], and tempering it out makes the interval from 8/7 to 5/4 a 12/11, and leads to [[keenanismic_chords|keenanismic chords]], interpreting [[48/35|48/35]] as [[11/8|11/8]]. It is also 176/175 flat of [[11/10|11/10]], and tempering that out instead leads to [[valinorsmic_chords|valinorsmic chords]] and interprets 48/35 as [[15/11|15/11]].
== See also ==
[[Category:interval]]
* [[64/35]] its [[inverse interval]]
[[Category:ratio]]
* [[Gallery of just intervals]]
[[Category:second]]
 
[[Category:septimal]]
[[Category:7-limit]]
[[Category:Interval]]
[[Category:Ratio]]
[[Category:Second]]
[[Category:Neutral second]]
[[Category:Septimal]]

Revision as of 22:35, 31 October 2018

Interval information
Ratio 35/32
Factorization 2-5 × 5 × 7
Monzo [-5 0 1 1⟩
Size in cents 155.1396¢
Name septimal neutral second
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

155.1396 cents

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

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