Minor third: Difference between revisions

Line 9:

== In just intonation ==

=== By prime limit ===

3-limit intervals in the range of minor thirds include the ~~'''~~Pythagorean minor third~~'''~~ of [[32/27]], 294.1{{c}} in size, which corresponds to the mos-based interval category of the diatonic minor third and is generated by [[stacking]] three just perfect fourths of [[4/3]], and the ~~'''~~Pythagorean augmented second~~'''~~ of [[19683/16384]], which is sharp of 32/27 by one Pythagorean comma, and is about 318{{c}} in size.

3-limit intervals in the range of minor thirds include the Pythagorean minor third of [[32/27]], 294.1{{c}} in size, which corresponds to the mos-based interval category of the diatonic minor third and is generated by [[stacking]] three just perfect fourths of [[4/3]], and the Pythagorean augmented second of [[19683/16384]], which is sharp of 32/27 by one Pythagorean comma, and is about 318{{c}} in size.

Much [[odd limit|simpler]] minor thirds exist in higher [[prime limit|limits]], however, for example:

Line 77:

== In edos ==

The following table lists the best tuning of 7/6 and 6/5, as well as other minor thirds if present, in various significant [[~~edos~~]].

The following table lists the best tuning of 7/6 and 6/5, as well as other minor thirds if present, in various significant [[edo]]s.

{| class="wikitable"

|-

! ~~EDO~~

! Edo

! 7/6

! 6/5

Line 162:

The two simplest minor third ratios are 7/6 and 6/5. The following notable temperaments are generated by them:{{Todo|complete list|inline=1}}

== In ~~moment-of-symmetry~~ scales ==

== In mos scales ==

Intervals between 267 and 343{{c}} generate the following [[~~MOS~~]] scales:

Intervals between 267 and 343{{c}} generate the following [[mos]] scales:

These tables start from the last monolarge ~~[[MOS]]~~ generated by the interval range.

These tables start from the last monolarge mos generated by the interval range.

~~MOSes~~ with more than 12 notes are not included.

Scales with more than 12 notes are not included.

{| class="wikitable"

|-

! Range

! colspan="4" | ~~MOS~~

! colspan="4" | Mos

|-

| 240–267{{c}}

@@ Line 9: / Line 9: @@
 == In just intonation ==
 === By prime limit ===
--limit intervals in the range of minor thirds include the '''Pythagorean minor third''' of [[32/27]], 294.1{{c}} in size, which corresponds to the mos-based interval category of the diatonic minor third and is generated by [[stacking]] three just perfect fourths of [[4/3]], and the '''Pythagorean augmented second''' of [[19683/16384]], which is sharp of 32/27 by one Pythagorean comma, and is about 318{{c}} in size.
+-limit intervals in the range of minor thirds include the Pythagorean minor third of [[32/27]], 294.1{{c}} in size, which corresponds to the mos-based interval category of the diatonic minor third and is generated by [[stacking]] three just perfect fourths of [[4/3]], and the Pythagorean augmented second of [[19683/16384]], which is sharp of 32/27 by one Pythagorean comma, and is about 318{{c}} in size.
 Much [[odd limit|simpler]] minor thirds exist in higher [[prime limit|limits]], however, for example:
@@ Line 77: / Line 77: @@
 == In edos ==
-The following table lists the best tuning of 7/6 and 6/5, as well as other minor thirds if present, in various significant [[edos]].
+The following table lists the best tuning of 7/6 and 6/5, as well as other minor thirds if present, in various significant [[edo]]s.
 {| class="wikitable"
 |-
-! EDO
+! Edo
 ! 7/6
 ! 6/5
@@ Line 162: / Line 162: @@
 The two simplest minor third ratios are 7/6 and 6/5. The following notable temperaments are generated by them:{{Todo|complete list|inline=1}}
-== In moment-of-symmetry scales ==
+== In mos scales ==
-Intervals between 267 and 343{{c}} generate the following [[MOS]] scales:
+Intervals between 267 and 343{{c}} generate the following [[mos]] scales:
-These tables start from the last monolarge [[MOS]] generated by the interval range.
+These tables start from the last monolarge mos generated by the interval range.
-MOSes with more than 12 notes are not included.
+Scales with more than 12 notes are not included.
 {| class="wikitable"
 |-
 ! Range
-! colspan="4" | MOS
+! colspan="4" | Mos
 |-
 | 240–267{{c}}