35/32: Difference between revisions

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{{Infobox Interval

~~| Icon =~~

~~| Ratio = 35/32~~

~~| Monzo = -5 0 1 1~~

~~| Cents = 155.13962~~

| Name = septimal neutral second

| Color name =

| 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]].

~~'''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]].

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

== See also ==

* [[64/35]] its [[~~inverse interval~~]]

* [[64/35]] – its [[octave complement]]

* [[Gallery of just intervals]]

~~[[Category:7-limit]]~~

~~[[Category:Interval]]~~

~~[[Category:Ratio]]~~

[[Category:Second]]

[[Category:Neutral second]]

[[Category:~~Septimal~~]]

[[Category:Mint]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Icon =
-| Ratio = 35/32
-| Monzo = -5 0 1 1
-| Cents = 155.13962
 | Name = septimal neutral second
-| Color name =
+| 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]].
-'''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]].
+It is very closely approximated by [[31edo|4\31]], being just 0.3 [[cents]] sharp of that interval.
 == See also ==
-* [[64/35]] its [[inverse interval]]
+* [[64/35]] – its [[octave complement]]
 * [[Gallery of just intervals]]
-[[Category:7-limit]]
-[[Category:Interval]]
-[[Category:Ratio]]
 [[Category:Second]]
 [[Category:Neutral second]]
-[[Category:Septimal]]
+[[Category:Mint]]