49/48: Difference between revisions

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{{Infobox Interval

| Name = large septimal diesis, slendro diesis, semaphore comma

| Name = large septimal diesis, slendro diesis, semaphore comma, semaphoresma

| Color name = zz2, zozo 2nd,<br>Zozo comma

| Sound = Ji-49-48-csound-foscil-220hz.mp3

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== Temperaments ==

49/48 is [[tempered out]] in [[15edo]] and [[19edo]], where the two intervals are equated, and the fourth is split in a perfect half. In the 2.3.7 [[subgroup]], this is known as the [[semaphore]] temperament, and the comma is thus known as the '''semaphore comma'''. It cannot be tempered out if all of the consonances of the 7-odd-limit are [[distinct]], but it ''can'' be equated with other commas; for example (49/48)/([[81/80]]) = [[245/243]], (49/48)/([[64/63]]) = [[1029/1024]], (49/48)/([[3125/3072]]) = [[3136/3125]], (49/48)/([[50/49]]) = [[2401/2400]], ([[128/125]])/(49/48) = [[6144/6125]], ([[36/35]])/(49/48) = [[1728/1715]].

49/48 is [[tempered out]] in [[15edo]] and [[19edo]], where the two intervals are equated, and the fourth is split in a perfect half. In the 2.3.7 [[subgroup]], this is known as the [[semaphore]] temperament, and the comma is thus known as the '''semaphore comma''' or '''semaphoresma'''. It cannot be tempered out if all of the consonances of the 7-odd-limit are [[distinct]], but it ''can'' be equated with other commas; for example (49/48)/([[81/80]]) = [[245/243]], (49/48)/([[64/63]]) = [[1029/1024]], (49/48)/([[3125/3072]]) = [[3136/3125]], (49/48)/([[50/49]]) = [[2401/2400]], ([[128/125]])/(49/48) = [[6144/6125]], ([[36/35]])/(49/48) = [[1728/1715]].

See [[Semaphoresmic family]] for the rank-3 family where it is tempered out. See [[Semaphoresmic clan]] for the rank-2 clan where it is tempered out.

== See also ==

* [[Semiphore family]], the rank-3 family where it is tempered out

* [[Slendro clan]], the rank-2 clan where it is tempered out

* [[Medium comma]]

* [[List of superparticular intervals]]

* [[Gallery of just intervals]]

[[Category:~~Slendro~~]]

[[Category:Semaphore]]

[[Category:~~Semiphore~~]]

[[Category:Semaphoresmic]]

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 }}
 {{Infobox Interval
-| Name = large septimal diesis, slendro diesis, semaphore comma
+| Name = large septimal diesis, slendro diesis, semaphore comma, semaphoresma
 | Color name = zz2, zozo 2nd,<br>Zozo comma
 | Sound = Ji-49-48-csound-foscil-220hz.mp3
@@ Line 15: / Line 15: @@
 == Temperaments ==
-/48 is [[tempered out]] in [[15edo]] and [[19edo]], where the two intervals are equated, and the fourth is split in a perfect half. In the 2.3.7 [[subgroup]], this is known as the [[semaphore]] temperament, and the comma is thus known as the '''semaphore comma'''. It cannot be tempered out if all of the consonances of the 7-odd-limit are [[distinct]], but it ''can'' be equated with other commas; for example (49/48)/([[81/80]]) = [[245/243]], (49/48)/([[64/63]]) = [[1029/1024]], (49/48)/([[3125/3072]]) = [[3136/3125]], (49/48)/([[50/49]]) = [[2401/2400]], ([[128/125]])/(49/48) = [[6144/6125]], ([[36/35]])/(49/48) = [[1728/1715]].
+/48 is [[tempered out]] in [[15edo]] and [[19edo]], where the two intervals are equated, and the fourth is split in a perfect half. In the 2.3.7 [[subgroup]], this is known as the [[semaphore]] temperament, and the comma is thus known as the '''semaphore comma''' or '''semaphoresma'''. It cannot be tempered out if all of the consonances of the 7-odd-limit are [[distinct]], but it ''can'' be equated with other commas; for example (49/48)/([[81/80]]) = [[245/243]], (49/48)/([[64/63]]) = [[1029/1024]], (49/48)/([[3125/3072]]) = [[3136/3125]], (49/48)/([[50/49]]) = [[2401/2400]], ([[128/125]])/(49/48) = [[6144/6125]], ([[36/35]])/(49/48) = [[1728/1715]].
+See [[Semaphoresmic family]] for the rank-3 family where it is tempered out. See [[Semaphoresmic clan]] for the rank-2 clan where it is tempered out.
 == See also ==
-* [[Semiphore family]], the rank-3 family where it is tempered out
-* [[Slendro clan]], the rank-2 clan where it is tempered out
 * [[Medium comma]]
 * [[List of superparticular intervals]]
 * [[Gallery of just intervals]]
-[[Category:Slendro]]
+[[Category:Semaphore]]
-[[Category:Semiphore]]
+[[Category:Semaphoresmic]]