Gothic comma: Difference between revisions

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{{Infobox Interval

| Ratio = 134217728/129140163

| Name = 17-comma, ~~17-3-~~comma

| Name = 17-comma, gothic comma, Pythagorean gothma

| Color name = ssw3, sasawa 3rd, Wa-17 comma

| Comma = yes

}}

'''~~134217728/129140163~~''' = {{monzo|27 -17}}, ~~called the '''17-comma'''~~, is an interval of 66.765 ~~cents~~. It is the amount by which seventeen ~~fifths~~ fall short of ten ~~octaves~~, or 210/(3/2)17. For ~~EDOs~~ up to 150 the ~~17-~~comma is tempered out if and only if 17 divides it, for example [[17edo]], [[34edo]] or [[68edo]].

The '''17-comma''', otherwise known as the '''gothic comma''' or '''Pythagorean gothma''' ({{monzo|legend=1| 27 -17 }}, [[ratio]]: 134217728/129140163), is an interval of 66.765{{cent}}. It is the amount by which seventeen [[fifth]]s fall short of ten [[octave]]s, or 210/(3/2)17.

== Temperaments ==

Tempering out this comma in the 5-limit leads to the '''gothic temperament'''. For edos up to 150 the comma is tempered out if and only if 17 divides it, for example [[17edo]], [[34edo]] or [[68edo]].

== Terminology ==

The names were given by [[Flora Canou]] in 2023. The first term ''gothic comma'' draws two inspirations:

# the neogothic tuning available in 17edo, and

# the link of [[TAMNAMS Extension]] name and comma names by the analogy pair gothic : pythagotonic :: mystery : pythamystonic.

The second term ''Pythagorean gothma'', is part of a series of step names in the [[Pythagorean tuning|Pythagorean]] [[diatonic scale]], where ''gothma'' refers to the double diminished 2-step.

== See also ==

* [[Gallery of ~~Just Intervals~~]]

* [[Gallery of just intervals]]

* [[Medium commas]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
 | Ratio = 134217728/129140163
-| Name = 17-comma, 17-3-comma
+| Name = 17-comma, gothic comma, Pythagorean gothma
 | Color name = ssw3, sasawa 3rd,<br>Wa-17 comma
 | Comma = yes
 }}
-'''134217728/129140163''' = {{monzo|27 -17}}, called the '''17-comma''', is an interval of 66.765 cents. It is the amount by which seventeen fifths fall short of ten octaves, or 2<sup>10</sup>/(3/2)<sup>17</sup>. For EDOs up to 150 the 17-comma is tempered out if and only if 17 divides it, for example [[17edo]], [[34edo]] or [[68edo]].
+The '''17-comma''', otherwise known as the '''gothic comma''' or '''Pythagorean gothma''' ({{monzo|legend=1| 27 -17 }}, [[ratio]]: 134217728/129140163), is an interval of 66.765{{cent}}. It is the amount by which seventeen [[fifth]]s fall short of ten [[octave]]s, or 2<sup>10</sup>/(3/2)<sup>17</sup>.
+== Temperaments ==
+Tempering out this comma in the 5-limit leads to the '''gothic temperament'''. For edos up to 150 the comma is tempered out if and only if 17 divides it, for example [[17edo]], [[34edo]] or [[68edo]].
+== Terminology ==
+The names were given by [[Flora Canou]] in 2023. The first term ''gothic comma'' draws two inspirations:
+# the neogothic tuning available in 17edo, and
+# the link of [[TAMNAMS Extension]] name and comma names by the analogy pair gothic : pytha<u>go</u>tonic :: mystery : pytha<u>mys</u>tonic.
+The second term ''Pythagorean gothma'', is part of a series of step names in the [[Pythagorean tuning|Pythagorean]] [[diatonic scale]], where ''gothma'' refers to the double diminished 2-step.
 == See also ==
-* [[Gallery of Just Intervals]]
+* [[Gallery of just intervals]]
 * [[Medium commas]]