4394/4375: Difference between revisions

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~~'''4394~~/~~4375''', the '''rectified Hebrew comma'''~~, ~~is a 13~~-~~limit interval of about 7.5 cents.~~

{{Infobox Interval

| Name = hebrewsma

| Color name = 3o<sup>3</sup>rg<sup>4</sup>2, tritho-aruquadgu 2nd

| Comma = yes

}}

== ~~Usage~~ ==

'''4394/4375''', the '''hebrewsma''', is a small 13-limit comma of about 7.5 cents. When octave-reduced, 4394/4375 represents the difference between a stack of three [[13/10]]'s against [[35/32]].

Tempering out ~~4394~~/~~4375~~ alongside with 3136/3125 sets the rectified ~~Hebrew~~ temperament, which is a 13~~-limit~~ extension of didacus, ~~and also marks~~ the ~~distinction between the two~~.

== Temperaments ==

Tempering out this comma in the 13-limit results in the rank-5 '''hebrewsmic temperament'''. Tempering it out in the 2.5.7.13 subgroup results in the rank-3 '''hebrew temperament'''. In either case [[14/13]] is split in two parts, each corresponding to [[26/25]].

Tempering it out alongside with [[3136/3125]] sets the rectified hebrew temperament, which is a 2.5.7.13 subgroup extension of [[didacus]]. The presence of 4394/4375 being tempered out is the defining factor which specifies the temperament as rectified hebrew.

The comma is tempered out in the {{Optimal ET sequence|legend=1| 19(e), 34d, 38df, 53, 58, 72, 77, 111, 130, 19e}}. In addition, it is tempered out by [[353edo]], where it is connected to a proposal to reform the Hebrew calendar, hence its name.

[[Category:Hebrewsmic]]

[[Category:Commas referencing a famous use of a number]]

@@ Line 1: / Line 1: @@
-'''4394/4375''', the '''rectified Hebrew comma''', is a 13-limit interval of about 7.5 cents.
+{{Infobox Interval
+| Name = hebrewsma
+| Color name = 3o<sup>3</sup>rg<sup>4</sup>2, tritho-aruquadgu 2nd
+| Comma = yes
+}}
-== Usage ==
+'''4394/4375''', the '''hebrewsma''', is a small 13-limit comma of about 7.5 cents. When octave-reduced, 4394/4375 represents the difference between a stack of three [[13/10]]'s against [[35/32]].
-Tempering out 4394/4375 alongside with 3136/3125 sets the rectified Hebrew temperament, which is a 13-limit extension of didacus, and also marks the distinction between the two.
+== Temperaments ==
+Tempering out this comma in the 13-limit results in the rank-5 '''hebrewsmic temperament'''. Tempering it out in the 2.5.7.13 subgroup results in the rank-3 '''hebrew temperament'''. In either case [[14/13]] is split in two parts, each corresponding to [[26/25]].
+Tempering it out alongside with [[3136/3125]] sets the rectified hebrew temperament, which is a 2.5.7.13 subgroup extension of [[didacus]]. The presence of 4394/4375 being tempered out is the defining factor which specifies the temperament as rectified hebrew.
+The comma is tempered out in the {{Optimal ET sequence|legend=1| 19(e), 34d, 38df, 53, 58, 72, 77, 111, 130, 19e}}. In addition, it is tempered out by [[353edo]], where it is connected to a proposal to reform the Hebrew calendar, hence its name.
+[[Category:Hebrewsmic]]
+[[Category:Commas referencing a famous use of a number]]