1407edo: Difference between revisions

Line 3:

== Theory ==

~~{{Harmonics in equal|1407}}~~

1407edo is excellent in the 7-limit, in which it supports the 441 & 1407 [[akjayland]] temperament with period 21. Just like 441edo, it tempers out the akjaysma and the landscape comma. However, unlike 441edo it does not temper out the tritrizo comma, since 1407 is not divisible by 9.

It tunes the [[pure bastille]] temperament in the 1407eff val and the [[marvelous bastille]] temperament in the patent val in the 13-limit.

It tunes the [[pure bastille]] temperament in the 1407eff val and the [[marvelous bastille]] temperament in the [[patent val]] in the 13-limit.

=== Prime harmonics ===

1407's divisors are {{EDOs|1, 3, 7, 21, 67, 201, 469}}.

=== Subsets and supersets ===

1407's divisors are {{EDOs| 3, 7, 21, 67, 201, 469 }}.

== Regular temperament properties ==

Line 15:

Line 18:

|+Table of rank-2 temperaments by generator

! Periods<br>per 8ve

! Generator~~<br>(Reduced)~~

! Generator*

! Cents~~<br>(Reduced)~~

! Cents*

! Associated<br>Ratio

! Temperaments

Line 23:

Line 26:

| 814\1407

| 694.243

| {{~~Monzo~~|381 0 -159 -4}}

| {{monzo| 381 0 -159 -4 }}

| [[Bastille]] (2.5.7) / [[pure bastille]] (1407eff) / [[marvelous bastille]] (1407)

|-

Line 44:

Line 47:

| [[Akjayland]]

|}

[[~~Category:Equal divisions of~~ the octave|~~####~~]] ~~~~

<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct

[[Category:Akjayland]]

@@ Line 3: / Line 3: @@
 == Theory ==
-{{Harmonics in equal|1407}}
 edo is excellent in the 7-limit, in which it supports the 441 & 1407 [[akjayland]] temperament with period 21. Just like 441edo, it tempers out the akjaysma and the landscape comma. However, unlike 441edo it does not temper out the tritrizo comma, since 1407 is not divisible by 9.
-It tunes the [[pure bastille]] temperament in the 1407eff val and the [[marvelous bastille]] temperament in the patent val in the 13-limit.
+It tunes the [[pure bastille]] temperament in the 1407eff val and the [[marvelous bastille]] temperament in the [[patent val]] in the 13-limit.
+=== Prime harmonics ===
+{{Harmonics in equal|1407}}
-'s divisors are {{EDOs|1, 3, 7, 21, 67, 201, 469}}.
+=== Subsets and supersets ===
+'s divisors are {{EDOs| 3, 7, 21, 67, 201, 469 }}.
 == Regular temperament properties ==
@@ Line 15: / Line 18: @@
 |+Table of rank-2 temperaments by generator
 ! Periods<br>per 8ve
-! Generator<br>(Reduced)
+! Generator*
-! Cents<br>(Reduced)
+! Cents*
 ! Associated<br>Ratio
 ! Temperaments
@@ Line 23: / Line 26: @@
 | 814\1407
 | 694.243
-| {{Monzo|381 0 -159 -4}}
+| {{monzo| 381 0 -159 -4 }}
 | [[Bastille]] (2.5.7) / [[pure bastille]] (1407eff) / [[marvelous bastille]] (1407)
 |-
@@ Line 44: / Line 47: @@
 | [[Akjayland]]
 |}
-[[Category:Equal divisions of the octave|####]] <!-- 4-digit number -->
+<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct
 [[Category:Akjayland]]