5L 7s (3/1-equivalent): Difference between revisions

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It is possible to construct no-twos [[rank-2 temperament]] interpretations of this scale, but it is difficult to interpret within commonly-studied no-twos subgroups like the 3.5.7 [[subgroup]] used for [[Bohlen-Pierce]]. Hard-of-basic scales can be interpreted in [[Mintaka]] temperament in the 3.7.11 subgroup (or its extensions such as Mintra), which tempers out [[1331/1323]] so that the generator (the stretched counterpart of the fourth) is ~[[11/7]], a stack of 2 generators (equivalent to the minor seventh) is ~[[27/11]], and a stack of three generators (equivalent to the minor third) is ~[[9/7]].

==~~Modes~~==

== Scale properties ==

The modes have step patterns which are the same as the modes of the p-chromatic scale.

~~{{MOS modes}}~~

{{MOS data|modes note=The modes have step patterns which are the same as the modes of the p-chromatic scale.}}

~~=== Scale degrees ===~~

~~{{MOS mode degrees~~}}

== Notation ==

Being a descendant of a macrodiatonic scale, it can notated using the traditional diatonic notation, if all intervals are reinterpreted as their stretched versions (like octaves as tritaves). However, this approach involves 1-based indexing for a non-diatonic MOS which is generally discouraged. Alternatively, a generic MOS notation may be used like [[diamond MOS notation]], which enables 0-based indexing at the cost of obscuring the connection to the standard diatonic scale.

~~== Intervals ==~~

~~{{MOS intervals}}~~

== Scale tree ==

{{~~Scale tree~~|~~Comments=~~2/1: Just [[21/11]] generator (1119.~~463c~~); 12/5: [[Mintra]]; 3/1: [[Mintaka]] is around here; 10/3: [[No-twos subgroup temperaments#Nekkar|Nekkar]]; 4/1: [[No-twos subgroup temperaments#Minalzidar|Minalzidar]]}}

{{MOS tuning spectrum

| 2/1 = Just [[21/11]] generator (1119.463{{c}})

| 12/5 = [[Mintra]]

| 3/1 = [[Mintaka]] is around here

| 10/3 = [[No-twos subgroup temperaments#Nekkar|Nekkar]]

| 4/1 = [[No-twos subgroup temperaments#Minalzidar|Minalzidar]]

}}

@@ Line 9: / Line 9: @@
 It is possible to construct no-twos [[rank-2 temperament]] interpretations of this scale, but it is difficult to interpret within commonly-studied no-twos subgroups like the 3.5.7 [[subgroup]] used for [[Bohlen-Pierce]]. Hard-of-basic scales can be interpreted in [[Mintaka]] temperament in the 3.7.11 subgroup (or its extensions such as Mintra), which tempers out [[1331/1323]] so that the generator (the stretched counterpart of the fourth) is ~[[11/7]], a stack of 2 generators (equivalent to the minor seventh) is ~[[27/11]], and a stack of three generators (equivalent to the minor third) is ~[[9/7]].
-==Modes==
+== Scale properties ==
-The modes have step patterns which are the same as the modes of the p-chromatic scale.
+{{TAMNAMS use}}
-{{MOS modes}}
+{{MOS data|modes note=The modes have step patterns which are the same as the modes of the p-chromatic scale.}}
-=== Scale degrees ===
-{{MOS mode degrees}}
 == Notation ==
 Being a descendant of a macrodiatonic scale, it can notated using the traditional diatonic notation, if all intervals are reinterpreted as their stretched versions (like octaves as tritaves). However, this approach involves 1-based indexing for a non-diatonic MOS which is generally discouraged. Alternatively, a generic MOS notation may be used like [[diamond MOS notation]], which enables 0-based indexing at the cost of obscuring the connection to the standard diatonic scale.
-== Intervals ==
-{{MOS intervals}}
 == Scale tree ==
-{{Scale tree|Comments=2/1: Just [[21/11]] generator (1119.463c); 12/5: [[Mintra]]; 3/1: [[Mintaka]] is around here; 10/3: [[No-twos subgroup temperaments#Nekkar|Nekkar]]; 4/1: [[No-twos subgroup temperaments#Minalzidar|Minalzidar]]}}
+{{MOS tuning spectrum
+| 2/1 = Just [[21/11]] generator (1119.463{{c}})
+| 12/5 = [[Mintra]]
+| 3/1 = [[Mintaka]] is around here
+| 10/3 = [[No-twos subgroup temperaments#Nekkar|Nekkar]]
+| 4/1 = [[No-twos subgroup temperaments#Minalzidar|Minalzidar]]
+}}