2L 4s: Difference between revisions

(5 intermediate revisions by 3 users not shown)

Line 11:

The only scale with this [[MOSScales|MOS]] pattern that's a really significant minimum of [[harmonic entropy]] is [[Diaschismic_family|srutal/pajara]], in which the period plus the generator is 3/2. Other scales include shrutar, in which the generator is '''half''' of that (about a quartertone), so 3/2 is a period plus two generators; and [[Porcupine_family#Hedgehog|hedgehog]], in which two generators make a 6/5, and 4/3 would be three generators (except that it doesn't appear in this MOS).

The only scale with this [[MOSScales|MOS]] pattern that's a really significant minimum of [[harmonic entropy]] is [[Diaschismic_family|srutal/pajara]], in which the period plus the generator is 3/2. Other scales include [[shrutar]], in which the generator is '''half''' of that (about a [[quartertone]]), so 3/2 is a period plus two generators; and [[Porcupine_family#Hedgehog|hedgehog]], in which two generators make a 6/5, and 4/3 would be three generators (except that it doesn't appear in this MOS).

In addition to the true MOS with pattern LssLss, all these scales also come in a near-MOS version, LsLsss, in which the period is the only generic interval that has more than two specific representatives.

Line 17:

Srutal/pajara probably has the lowest harmonic entropy of all 6-note MOS scales. The near-MOS version has even lower harmonic entropy.

== Intervals ==

== Scale properties ==

=== Intervals ===

==Modes==

=== Generator chain ===

=== Modes ===

==Scale tree==

== Scale tree ==

{{~~Scale tree~~|~~Comments=6/1: Shrutar ↓;~~

{{MOS tuning spectrum

9/~~2: Injera is around here;~~

| 9/7 = [[Unidec]]

7/~~2: Srutal~~/~~Pajara is around here;~~

| 13/8 = Golden [[hedgehog]]/[[echidna]]

5/3: Hedgehog ~~and echidna are~~ around here;

| 5/3 = Hedgehog (optimal around here)

13/8~~: Golden hedgehog~~/~~echidna;~~

| 9/4 = [[Crepuscular]]

3/2~~: Optimum rank range~~}}

| 8/3 = [[Octokaidecal]]

| 7/2 = [[Pajara]]

| 9/2 = [[Injera]]

| 6/1 = [[Shrutar]] ↓

}}

[[Category:6-tone scales]]

@@ Line 11: / Line 11: @@
 {{MOS intro}}
-The only scale with this [[MOSScales|MOS]] pattern that's a really significant minimum of [[harmonic entropy]] is [[Diaschismic_family|srutal/pajara]], in which the period plus the generator is 3/2. Other scales include shrutar, in which the generator is '''half''' of that (about a quartertone), so 3/2 is a period plus two generators; and [[Porcupine_family#Hedgehog|hedgehog]], in which two generators make a 6/5, and 4/3 would be three generators (except that it doesn't appear in this MOS).
+The only scale with this [[MOSScales|MOS]] pattern that's a really significant minimum of [[harmonic entropy]] is [[Diaschismic_family|srutal/pajara]], in which the period plus the generator is 3/2. Other scales include [[shrutar]], in which the generator is '''half''' of that (about a [[quartertone]]), so 3/2 is a period plus two generators; and [[Porcupine_family#Hedgehog|hedgehog]], in which two generators make a 6/5, and 4/3 would be three generators (except that it doesn't appear in this MOS).
 In addition to the true MOS with pattern LssLss, all these scales also come in a near-MOS version, LsLsss, in which the period is the only generic interval that has more than two specific representatives.
@@ Line 17: / Line 17: @@
 Srutal/pajara probably has the lowest harmonic entropy of all 6-note MOS scales. The near-MOS version has even lower harmonic entropy.
-== Intervals ==
+== Scale properties ==
+{{TAMNAMS use}}
+=== Intervals ===
 {{MOS intervals}}
-==Modes==
+=== Generator chain ===
+{{MOS genchain}}
+=== Modes ===
 {{MOS mode degrees}}
-==Scale tree==
+== Scale tree ==
-{{Scale tree|Comments=6/1: Shrutar ↓;
+{{MOS tuning spectrum
-/2: Injera is around here;
+| 9/7 = [[Unidec]]
-/2: Srutal/Pajara is around here;
+| 13/8 = Golden [[hedgehog]]/[[echidna]]
-/3: Hedgehog and echidna are around here;
+| 5/3 = Hedgehog (optimal around here)
-/8: Golden hedgehog/echidna;
+| 9/4 = [[Crepuscular]]
-/2: Optimum rank range}}
+| 8/3 = [[Octokaidecal]]
+| 7/2 = [[Pajara]]
+| 9/2 = [[Injera]]
+| 6/1 = [[Shrutar]]&nbsp;↓
+}}
 [[Category:6-tone scales]]