35/32: Difference between revisions

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~~'''35/32'''~~

{{Infobox Interval

|~~-5 0 1 1>~~

| Name = septimal neutral second

| Color name = zy2, zoyo 2nd

| Sound = jid_35_32_pluck_adu_dr220.mp3

| Comma = no

}}

~~155~~.~~1396 cents~~

'''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]].

[[~~File:jid_35_32_pluck_adu_dr220.mp3~~]] [[~~:File:jid_35_32_pluck_adu_dr220.mp3|sound sample~~]]

It is very closely approximated by [[31edo|4\31]], being just 0.3 [[cents]] sharp of that interval.

~~'''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 [[octave complement]]

[[Category:~~ratio~~]]

* [[Gallery of just intervals]]

[[Category:second]]

[[Category:~~septimal~~]]

[[Category:Second]]

[[Category:Neutral second]]

[[Category:Mint]]

@@ Line 1: / Line 1: @@
-'''35/32'''
+{{Infobox Interval
-|-5 0 1 1&gt;
+| Name = septimal neutral second
+| Color name = zy2, zoyo 2nd
+| Sound = jid_35_32_pluck_adu_dr220.mp3
+| Comma = no
+}}
-.1396 cents
+'''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]].
-[[File:jid_35_32_pluck_adu_dr220.mp3]] [[:File:jid_35_32_pluck_adu_dr220.mp3|sound sample]]
+It is very closely approximated by [[31edo|4\31]], being just 0.3 [[cents]] sharp of that interval.
-'''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 [[octave complement]]
-[[Category:ratio]]
+* [[Gallery of just intervals]]
-[[Category:second]]
-[[Category:septimal]]
+[[Category:Second]]
+[[Category:Neutral second]]
+[[Category:Mint]]