676/675: Difference between revisions

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{{Infobox Interval

| Name = island comma, ~~parizeksma~~

| Name = island comma, parizekma

| Color name = 3oogg2, bithogu 2nd,<br>Bithogu comma

| Comma = yes

}}

'''676/675''', otherwise known as the '''island comma''', or the '''~~parizeksma~~''', is the difference between two [[15/13]]'s and a [[4/3]] perfect fourth, and also between [[26/25]] and [[27/26]]. Tempering this comma out divides the perfect fourth into two equal halves, making [[island chords]] possible.

'''676/675''', otherwise known as the '''island comma''', or the '''parizekma''', is the difference between two [[15/13]]'s and a [[4/3]] perfect fourth (from which its S-expression of [[169/168|S13]]/[[225/224|S15]] = (16/12)/(15/13)<sup>2</sup> is derived), and also between [[26/25]] and [[27/26]] (from which its [[S-expression]] of S26 is derived). Tempering this comma out divides the perfect fourth into two equal halves, making [[island chords]] possible.

== Temperaments ==

See [[The Archipelago]] for the "rag-tag collection of various regular temperaments of different ranks, including subgroup temperaments" associated with tempering out this comma, and [[Island chords]] for chords making use of the resulting structure.

== Etymology ==

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== See also ==

* [[~~Island chords]]~~

* [[Semifourth]]

* [[The Archipelago]]

* [[Unnoticeable comma]]

* [[List of superparticular intervals]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Name = island comma, parizeksma
+| Name = island comma, parizekma
 | Color name = 3oogg2, bithogu 2nd,<br>Bithogu comma
 | Comma = yes
 }}
-'''676/675''', otherwise known as the '''island comma''', or the '''parizeksma''', is the difference between two [[15/13]]'s and a [[4/3]] perfect fourth, and also between [[26/25]] and [[27/26]]. Tempering this comma out divides the perfect fourth into two equal halves, making [[island chords]] possible.
+'''676/675''', otherwise known as the '''island comma''', or the '''parizekma''', is the difference between two [[15/13]]'s and a [[4/3]] perfect fourth (from which its S-expression of [[169/168|S13]]/[[225/224|S15]] = (16/12)/(15/13)<sup>2</sup> is derived), and also between [[26/25]] and [[27/26]] (from which its [[S-expression]] of S26 is derived). Tempering this comma out divides the perfect fourth into two equal halves, making [[island chords]] possible.
+== Temperaments ==
+See [[The Archipelago]] for the "rag-tag collection of various regular temperaments of different ranks, including subgroup temperaments" associated with tempering out this comma, and [[Island chords]] for chords making use of the resulting structure.
 == Etymology ==
@@ Line 16: / Line 19: @@
 == See also ==
-* [[Island chords]]
+* [[Semifourth]]
-* [[The Archipelago]]
 * [[Unnoticeable comma]]
 * [[List of superparticular intervals]]