12/11: Difference between revisions

(6 intermediate revisions by 6 users not shown)

Line 1:

{{Infobox Interval

~~| Icon =~~

| Name = undecimal neutral second, Alpharabian tendoneutral second

~~| Ratio = 12/11~~

~~| Monzo = 2 1 0 0 -1~~

~~| Cents = 150.63706~~

| Name = undecimal neutral second

| Color name = 1u2, lu 2nd

~~| FJS name = M211~~

| Sound = jid_12_11_pluck_adu_dr220.mp3

}}

'''12/11''', the '''undecimal neutral second''' or '''(lesser) neutral second''', is ~~a strangely exotic~~ interval found between the 11th and 12th partials of the harmonic series. In ~~Just Intonation~~ it is represented by the [[superparticular]] ratio 12/11, and is about 150.6 [[cent]]s large. One step of [[8edo]] is an excellent approximation of the just neutral second, and eight of them exceed the octave by the comma (12/11)8/2 = {{Monzo|15 8 0 0 -8}}. It follows that EDOs which are multiples of 8, such as [[16edo]] and [[24edo]], will also represent this interval well.

'''12/11''', the '''undecimal neutral second''' or '''(lesser) neutral second''', is an interval found between the 11th and 12th partials of the [[harmonic series]]. In [[just intonation]] it is represented by the [[superparticular]] ratio 12/11, and is about 150.6 [[cent]]s large. One step of [[8edo]] is an excellent approximation of the just neutral second, and eight of them exceed the octave by the comma [[Undecimal_octatonic_comma|(12/11)8/2 = {{Monzo|15 8 0 0 -8}}]]. It follows that EDOs which are multiples of 8, such as [[16edo]] and [[24edo]], will also represent this interval well. In [[Alpharabian tuning]] it is known as the '''Alpharabian tendoneutral second'''.

12/11 differs from the larger undecimal neutral second [[11/10]] (~165 cents) by [[121/120]] (~14.4 cents). Temperaments which conflate the two (thus tempering out 121/120) include [[15edo]], [[22edo]], [[31edo]], [[orwell]], [[porcupine]], [[mohajira]], [[valentine]], etc.

Many Western listeners might describe 12/11 as sounding "exotic".

== See also ==

Line 22:

Line 20:

* [[List of superparticular intervals]]

[[Category:~~11-limit]]~~

[[Category:Second]]

~~[[Category:Interval ratio]]~~

~~[[Category:Just interval~~]]

[[Category:Neutral second]]

~~[[Category:Second]]~~

[[Category:Over-11 intervals]]

~~[[Category:Superparticular]]~~

[[Category:Over-11]]

~~[[Category:Pages with internal sound examples~~]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Icon =
+| Name = undecimal neutral second, Alpharabian tendoneutral second
-| Ratio = 12/11
-| Monzo = 2 1 0 0 -1
-| Cents = 150.63706
-| Name = undecimal neutral second
 | Color name = 1u2, lu 2nd
-| FJS name = M2<sub>11</sub>
 | Sound = jid_12_11_pluck_adu_dr220.mp3
 }}
+{{Wikipedia|Neutral second}}
-'''12/11''', the '''undecimal neutral second''' or '''(lesser) neutral second''', is a strangely exotic interval found between the 11th and 12th partials of the harmonic series. In Just Intonation it is represented by the [[superparticular]] ratio 12/11, and is about 150.6 [[cent]]s large. One step of [[8edo]] is an excellent approximation of the just neutral second, and eight of them exceed the octave by the comma (12/11)<sup>8</sup>/2 = {{Monzo|15 8 0 0 -8}}. It follows that EDOs which are multiples of 8, such as [[16edo]] and [[24edo]], will also represent this interval well.
+'''12/11''', the '''undecimal neutral second''' or '''(lesser) neutral second''', is an interval found between the 11th and 12th partials of the [[harmonic series]]. In [[just intonation]] it is represented by the [[superparticular]] ratio 12/11, and is about 150.6 [[cent]]s large. One step of [[8edo]] is an excellent approximation of the just neutral second, and eight of them exceed the octave by the comma [[Undecimal_octatonic_comma|(12/11)<sup>8</sup>/2 = {{Monzo|15 8 0 0 -8}}]]. It follows that EDOs which are multiples of 8, such as [[16edo]] and [[24edo]], will also represent this interval well.  In [[Alpharabian tuning]] it is known as the '''Alpharabian tendoneutral second'''.
 /11 differs from the larger undecimal neutral second [[11/10]] (~165 cents) by [[121/120]] (~14.4 cents). Temperaments which conflate the two (thus tempering out 121/120) include [[15edo]], [[22edo]], [[31edo]], [[orwell]], [[porcupine]], [[mohajira]], [[valentine]], etc.
+Many Western listeners might describe 12/11 as sounding "exotic".
 == See also ==
@@ Line 22: / Line 20: @@
 * [[List of superparticular intervals]]
-[[Category:11-limit]]
+[[Category:Second]]
-[[Category:Interval ratio]]
-[[Category:Just interval]]
 [[Category:Neutral second]]
-[[Category:Second]]
+[[Category:Over-11 intervals]]
-[[Category:Superparticular]]
-[[Category:Over-11]]
-[[Category:Pages with internal sound examples]]