2L 3s: Difference between revisions

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{{Infobox MOS

| Name = pentic

| Periods = 1

| nLargeSteps = 2

| nSmallSteps = 3

| Equalized = 2

| Paucitonic = 1

| Pattern = LsLss

}}

This scale is the "Classic" [[pentatonic|pentatonic]]. Perhaps the most common scale in the world.

The [[~~Meantone|~~meantone]] pentatonic scale, in which the generator approximates 4/3 but other intervals in the scale approximate 6/5 and 5/4, has by far the lowest harmonic entropy of all 5-note MOS scales, which explains the worldwide popularity of these scales and their very long history of use. It is also strictly [[~~Rothenberg_propriety~~|proper]].

The [[meantone]] pentatonic scale, in which the generator approximates 4/3 but other intervals in the scale approximate 6/5 and 5/4, has by far the lowest harmonic entropy of all 5-note MOS scales, which explains the worldwide popularity of these scales and their very long history of use. It is also strictly [[Rothenberg propriety|proper]].

== Names ==

The [[TAMNAMS]] system suggests the name '''pentic''', derived from an [[Wiktionary: pent #Etymology 2|informal clipping of "pentatonic"]] that is sometimes used to refer to this scale.

== Modes ==

* 4|0 LsLss

* 3|1 LssLs

* 2|2 sLsLs

* 1|3 sLssL

* 0|4 ssLsL

== Scale Tree ==

Generator ranges:

* Chroma-positive generator: 480 cents (2\5) to 600 cents (1\2)

* Chroma-negative generator: 600 cents (1\2) to 720 cents (3\5)

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From a [[~~3-limit|~~3-limit]] perspective, just make a chain of four 4/3's and octave-reduce, and you end up with pentatonic.

From a [[3-limit]] perspective, just make a chain of four 4/3's and octave-reduce, and you end up with pentatonic.

From a [[~~5-limit|~~5-limit]] perspective, the most interesting temperaments with this kind of pentatonic scale are [[~~Meantone|~~meantone]] and [[~~Pelogic_family~~|mavila]].

From a [[5-limit]] perspective, the most interesting temperaments with this kind of pentatonic scale are [[meantone]] and [[Pelogic family|mavila]].

There is also the interesting 2.3.7 temperament that tempers out [[~~64/63|~~64/63]] ("no-fives [[~~dominant~~|dominant]]").

There is also the interesting 2.3.7 temperament that tempers out [[64/63]] ([[archy]], "no-fives [[Meantone family #Dominant|dominant]]").

[[Category:Pentatonic]]

[[Category:Abstract MOS patterns]]

[[Category:5-tone scales]]

@@ Line 1: / Line 1: @@
+{{Infobox MOS
+| Name = pentic
+| Periods = 1
+| nLargeSteps = 2
+| nSmallSteps = 3
+| Equalized = 2
+| Paucitonic = 1
+| Pattern = LsLss
+}}
 This scale is the "Classic" [[pentatonic|pentatonic]]. Perhaps the most common scale in the world.
-The [[Meantone|meantone]] pentatonic scale, in which the generator approximates 4/3 but other intervals in the scale approximate 6/5 and 5/4, has by far the lowest harmonic entropy of all 5-note MOS scales, which explains the worldwide popularity of these scales and their very long history of use. It is also strictly [[Rothenberg_propriety|proper]].
+The [[meantone]] pentatonic scale, in which the generator approximates 4/3 but other intervals in the scale approximate 6/5 and 5/4, has by far the lowest harmonic entropy of all 5-note MOS scales, which explains the worldwide popularity of these scales and their very long history of use. It is also strictly [[Rothenberg propriety|proper]].
 == Names ==
 The [[TAMNAMS]] system suggests the name '''pentic''', derived from an [[Wiktionary: pent #Etymology 2|informal clipping of "pentatonic"]] that is sometimes used to refer to this scale.
+== Modes ==
+* 4|0 LsLss
+* 3|1 LssLs
+* 2|2 sLsLs
+* 1|3 sLssL
+* 0|4 ssLsL
 == Scale Tree ==
+Generator ranges:
+* Chroma-positive generator: 480 cents (2\5) to 600 cents (1\2)
+* Chroma-negative generator: 600 cents (1\2) to 720 cents (3\5)
 {| class="wikitable"
 |-
@@ Line 575: / Line 596: @@
 |}
-From a [[3-limit|3-limit]] perspective, just make a chain of four 4/3's and octave-reduce, and you end up with pentatonic.
+From a [[3-limit]] perspective, just make a chain of four 4/3's and octave-reduce, and you end up with pentatonic.
-From a [[5-limit|5-limit]] perspective, the most interesting temperaments with this kind of pentatonic scale are [[Meantone|meantone]] and [[Pelogic_family|mavila]].
+From a [[5-limit]] perspective, the most interesting temperaments with this kind of pentatonic scale are [[meantone]] and [[Pelogic family|mavila]].
-There is also the interesting 2.3.7 temperament that tempers out [[64/63|64/63]] ("no-fives [[dominant|dominant]]").
+There is also the interesting 2.3.7 temperament that tempers out [[64/63]] ([[archy]], "no-fives [[Meantone family #Dominant|dominant]]").
 [[Category:Pentatonic]]
 [[Category:Abstract MOS patterns]]
+[[Category:5-tone scales]]

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