5L 3s (3/1-equivalent): Difference between revisions

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| nSmallSteps = 3

| Equalized = 3

| ~~Paucitonic~~ = 2

| Collapsed = 2

| Pattern = LLsLLsLs

}}

This MOS belongs to a temperament which has [[~~Bohlen-Pierce|Bohlen-Pierce~~]] as its index-2 subtemperament. In addition to being concordant, this tuning of the MOS gives an L/s ratio between 3/1 and 3/2, which is squarely in the middle of the range, being thus neither too exaggerated nor too equalized to be recognizable as such, unlike in octaves, where the only notable harmonic entropy minimum is near a greatly exaggerated 10/1 L/s ratio.

This MOS belongs to a temperament which has [[Bohlen–Pierce]] as its [[index]]-2 [[subtemperament]]. In addition to being [[concordant]], this tuning of the MOS gives an L/s ratio between 3/1 and 3/2, which is squarely in the middle of the range, being thus neither too exaggerated nor too equalized to be recognizable as such, unlike in octaves, where the only notable [[harmonic entropy]] minimum is near a greatly exaggerated 10/1 L/s ratio.

== Modes ==

== Intervals ==

== Scale tree ==

{| class="wikitable" style="text-align:center;"

|-

! colspan="5" |\

! colspan="5" |Generator

! | tetrachord

! | g in cents

Line 1,642:

Line 1,650:

|}

~~[[Category:Scales]]~~

~~[[Category:Abstract MOS patterns]]~~

[[Category:Nonoctave]]

[[Category:8-tone scales]]

@@ Line 5: / Line 5: @@
 | nSmallSteps = 3
 | Equalized = 3
-| Paucitonic = 2
+| Collapsed = 2
 | Pattern = LLsLLsLs
 }}
+{{MOS intro}}
-This MOS belongs to a temperament which has [[Bohlen-Pierce|Bohlen-Pierce]] as its index-2 subtemperament. In addition to being concordant, this tuning of the MOS gives an L/s ratio between 3/1 and 3/2, which is squarely in the middle of the range, being thus neither too exaggerated nor too equalized to be recognizable as such, unlike in octaves, where the only notable harmonic entropy minimum is near a greatly exaggerated 10/1 L/s ratio.
+This MOS belongs to a temperament which has [[Bohlen–Pierce]] as its [[index]]-2 [[subtemperament]]. In addition to being [[concordant]], this tuning of the MOS gives an L/s ratio between 3/1 and 3/2, which is squarely in the middle of the range, being thus neither too exaggerated nor too equalized to be recognizable as such, unlike in octaves, where the only notable [[harmonic entropy]] minimum is near a greatly exaggerated 10/1 L/s ratio.
+== Modes ==
+{{MOS modes}}
+== Intervals ==
+{{MOS intervals}}
+== Scale tree ==
 {| class="wikitable" style="text-align:center;"
 |-
-! colspan="5" |\
+! colspan="5" |Generator
 ! | tetrachord
 ! | g in cents
@@ Line 1,642: / Line 1,650: @@
 |}
-[[Category:Scales]]
-[[Category:Abstract MOS patterns]]
 [[Category:Nonoctave]]
+[[Category:8-tone scales]]