5L 4s: Difference between revisions

Line 6:

# [[Semaphore]] generated by semifourths flatter than 3\14 (257.14¢). This implies a diatonic fifth.

#: The generator could be viewed as a 15/13, and the resulting "ultramajor" chords and "inframinor" triads could be viewed as approximating 10:13:15 and 26:30:39. See [[Arto and Tendo Theory]].

# [[~~Superpelog]], or [[bug~~]], generated by semifourths sharper than 3\14 (257.14¢). This implies a "[[mavila]]" or superdiatonic fifth.

# [[Bug]], generated by semifourths sharper than 3\14 (257.14¢). This implies a "[[mavila]]" or superdiatonic fifth.

== Scale tree ==

{| class="wikitable"

Line 450:

| | 233\1076

| | 259.851

| style="text-align:center;" | Golden [[~~superpelog|superpelog~~]]

| style="text-align:center;" | Golden [[bug]]

|-

| |

Line 520:

| |

| | 260.870

| style="text-align:center;" | Optimum rank range (L/s=3/2) ~~superpelog~~

| style="text-align:center;" | Optimum rank range (L/s=3/2) bug

|-

| |

Line 680:

|}

=== ~~Superpelog~~ ===

=== Bug ===

For convenience's sake, we can view [[~~superpelog~~]] as any 5L 4s tuning where two [[semifourth]] generators make a ''superdiatonic'' ([[7L 2s]]) fourth, i.e. any tuning where the semifourth is between 3\14 (257.14¢) and 2\9 (266.67¢). [[23edo]]'s 5\23 (260.87¢) is an example of a ~~superpelog~~ generator.

For convenience's sake, we can view [[bug]] as any 5L 4s tuning where two [[semifourth]] generators make a ''superdiatonic'' ([[7L 2s]]) fourth, i.e. any tuning where the semifourth is between 3\14 (257.14¢) and 2\9 (266.67¢). [[23edo]]'s 5\23 (260.87¢) is an example of a bug generator.

The sizes of the generator, large step and small step of 5L 4s are as follows in various ~~superpelog~~ tunings.

The sizes of the generator, large step and small step of 5L 4s are as follows in various bug tunings.

{| class="wikitable right-2 right-3 right-4 right-5"

|-

@@ Line 6: / Line 6: @@
 # [[Semaphore]] generated by semifourths flatter than 3\14 (257.14¢). This implies a diatonic fifth.
 #: The generator could be viewed as a 15/13, and the resulting "ultramajor" chords and "inframinor" triads could be viewed as approximating 10:13:15 and 26:30:39. See [[Arto and Tendo Theory]].
-# [[Superpelog]], or [[bug]], generated by semifourths sharper than 3\14 (257.14¢). This implies a "[[mavila]]" or superdiatonic fifth.
+# [[Bug]], generated by semifourths sharper than 3\14 (257.14¢). This implies a "[[mavila]]" or superdiatonic fifth.
 == Scale tree ==
 {| class="wikitable"
@@ Line 450: / Line 450: @@
 | | 233\1076
 | | 259.851
-| style="text-align:center;" | Golden [[superpelog|superpelog]]
+| style="text-align:center;" | Golden [[bug]]
 |-
 | |
@@ Line 520: / Line 520: @@
 | |
 | | 260.870
-| style="text-align:center;" | Optimum rank range (L/s=3/2) superpelog
+| style="text-align:center;" | Optimum rank range (L/s=3/2) bug
 |-
 | |
@@ Line 680: / Line 680: @@
 |}
-=== Superpelog ===
+=== Bug ===
-For convenience's sake, we can view [[superpelog]] as any 5L 4s tuning where two [[semifourth]] generators make a ''superdiatonic'' ([[7L 2s]]) fourth, i.e. any tuning where the semifourth is between 3\14 (257.14¢) and 2\9 (266.67¢). [[23edo]]'s 5\23 (260.87¢) is an example of a superpelog generator.
+For convenience's sake, we can view [[bug]] as any 5L 4s tuning where two [[semifourth]] generators make a ''superdiatonic'' ([[7L 2s]]) fourth, i.e. any tuning where the semifourth is between 3\14 (257.14¢) and 2\9 (266.67¢). [[23edo]]'s 5\23 (260.87¢) is an example of a bug generator.
-The sizes of the generator, large step and small step of 5L 4s are as follows in various superpelog tunings.
+The sizes of the generator, large step and small step of 5L 4s are as follows in various bug tunings.
 {| class="wikitable right-2 right-3 right-4 right-5"
 |-