12L 5s: Difference between revisions

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The [[leapday]]/[[leapweek]] version is proper, but the Pythagorean/schismic version is improper (it does not become proper until you add 12 more notes to form the schismic 29-note scale).

==Intervals==

== Scale properties ==

=== Intervals ===

== Modes ==

=== Generator chain ===

=== Modes ===

=== Proposed tuning-specific names ===

[[Declan Paul Boushy]] has proposed names for these modes corresponding to step ratios [[Subaru scale|3:1]] and [[Tanegashima scale|4:1]].

{{todo|add etymology|add Template:MOS modes and annotate each row using Boushy’s names}}

== Scales ==

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== Scale tree ==

{{~~Scale tree~~|~~Comments=~~

{{MOS tuning spectrum

4/3: [[Leapfrog]];

| 4/3 = [[Leapfrog]]

7/5: [[Leapweek]];

| 7/5 = [[Leapweek]]

3/2: [[Leapday]];

| 3/2 = [[Leapday]]

11/7: [[Polypyth]];

| 11/7 = [[Polypyth]]

13/8: Golden neogothic (495.~~904¢~~);

| 13/8 = Golden neogothic (495.904{{c}})

7/3: [[Undecental]];

| 7/3 = [[Undecental]]

12/5: Argent tuning (497.~~056¢~~);

| 12/5 = Argent tuning (497.056{{c}})

13/5: Unnamed golden tuning (497.~~254¢~~);

| 13/5 = Unnamed golden tuning (497.254{{c}})

11/4: [[Kwai]];

| 11/4 = [[Kwai]]

3/1: [[Garibaldi]] / [[andromeda]];

| 3/1 = [[Garibaldi]] / [[andromeda]]

7/2: Garibaldi / [[cassandra]];

| 7/2 = Garibaldi / [[cassandra]]

4/1: Garibaldi / [[helenus]], Pythagorean tuning (498.~~045¢~~);

| 4/1 = Garibaldi / [[helenus]], Pythagorean tuning (498.045{{c}})

9/2: [[Pontiac]];

| 9/2 = [[Pontiac]]

5/1: [[Photia]];

| 5/1 = [[Photia]]

6/1: ↓ [[Grackle]], ↓↓ [[gracecordial]];

| 6/1 = ↓ [[Grackle]], ↓↓ [[gracecordial]]

}}

[[Category:17-tone scales]]

[[Category:Mega chromatic scales]]

@@ Line 4: / Line 4: @@
 The [[leapday]]/[[leapweek]] version is proper, but the Pythagorean/schismic version is improper (it does not become proper until you add 12 more notes to form the schismic 29-note scale).
-==Intervals==
+== Scale properties ==
+{{TAMNAMS use}}
+=== Intervals ===
 {{MOS intervals}}
-== Modes ==
+=== Generator chain ===
+{{MOS genchain}}
+=== Modes ===
 {{MOS mode degrees}}
 === Proposed tuning-specific names ===
 [[Declan Paul Boushy]] has proposed names for these modes corresponding to step ratios [[Subaru scale|3:1]] and [[Tanegashima scale|4:1]].
+{{todo|add etymology|add Template:MOS modes and annotate each row using Boushy’s names}}
 == Scales ==
@@ Line 21: / Line 31: @@
 == Scale tree ==
-{{Scale tree|Comments=
+{{MOS tuning spectrum
-/3: [[Leapfrog]];
+| 4/3 = [[Leapfrog]]
-/5: [[Leapweek]];
+| 7/5 = [[Leapweek]]
-/2: [[Leapday]];
+| 3/2 = [[Leapday]]
-/7: [[Polypyth]];
+| 11/7 = [[Polypyth]]
-/8: Golden neogothic (495.904¢);
+| 13/8 = Golden neogothic (495.904{{c}})
-/3: [[Undecental]];
+| 7/3 = [[Undecental]]
-/5: Argent tuning (497.056¢);
+| 12/5 = Argent tuning (497.056{{c}})
-/5: Unnamed golden tuning (497.254¢);
+| 13/5 = Unnamed golden tuning (497.254{{c}})
-/4: [[Kwai]];
+| 11/4 = [[Kwai]]
-/1: [[Garibaldi]] / [[andromeda]];
+| 3/1 = [[Garibaldi]] / [[andromeda]]
-/2: Garibaldi / [[cassandra]];
+| 7/2 = Garibaldi / [[cassandra]]
-/1: Garibaldi / [[helenus]], Pythagorean tuning (498.045¢);
+| 4/1 = Garibaldi / [[helenus]], Pythagorean tuning (498.045{{c}})
-/2: [[Pontiac]];
+| 9/2 = [[Pontiac]]
-/1: [[Photia]];
+| 5/1 = [[Photia]]
-/1: ↓ [[Grackle]], ↓↓ [[gracecordial]];
+| 6/1 = ↓&nbsp;[[Grackle]], ↓↓&nbsp;[[gracecordial]]
 }}
 [[Category:17-tone scales]]
 [[Category:Mega chromatic scales]]