4394/4375: Difference between revisions

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{{Infobox Interval

| Name = ~~Hebrewsma~~

| Name = hebrewsma

| Comma = yes

}}

'''4394/4375''', the '''~~Hebrewsma~~''', is a small 13-limit comma of about 7.5 cents.

'''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]].

~~When octave~~-~~reduced, 4394/4375 represents a difference between a stack of three [[13/10]] against one [[35/32]]~~. ~~Alternately,~~ it ~~splits~~ the [[14/13]] in two parts, each corresponding to [[26/25]].

== 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]].

~~== Theory ==~~

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.

Tempering out ~~4394/4375~~ alongside with [[3136/3125]] sets the rectified ~~Hebrew~~ temperament, which is a 13~~-limit~~ 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 by the following vals: {{~~EDOs~~|72, 58, 53, ~~130~~, 111, ~~19p, 34d~~, 19e~~, 77, 38df~~}}. In addition, it is tempered out by [[353edo]], where it is connected to a proposal to reform the Hebrew calendar, hence its name.

The comma is tempered out by the following vals: {{val list| 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]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Name = Hebrewsma
+| Name = hebrewsma
 | Comma = yes
 }}
-'''4394/4375''', the '''Hebrewsma''', is a small 13-limit comma of about 7.5 cents.
+'''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]].
-When octave-reduced, 4394/4375 represents a difference between a stack of three [[13/10]] against one [[35/32]]. Alternately, it splits the [[14/13]] in two parts, each corresponding to [[26/25]].
+== 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]].
-== Theory ==
+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.
-Tempering out 4394/4375 alongside with [[3136/3125]] sets the rectified Hebrew temperament, which is a 13-limit 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 by the following vals: {{EDOs|72, 58, 53, 130, 111, 19p, 34d, 19e, 77, 38df}}. In addition, it is tempered out by [[353edo]], where it is connected to a proposal to reform the Hebrew calendar, hence its name.
+The comma is tempered out by the following vals: {{val list| 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]]