4394/4375: Difference between revisions
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I'm not fond of capital comma and temperament names |
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{{Infobox Interval | {{Infobox Interval | ||
| Name = | | Name = hebrewsma | ||
| Comma = yes | | Comma = yes | ||
}} | }} | ||
'''4394/4375''', the ''' | '''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]]. | ||
== 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. | |||
Tempering out | |||
The comma is tempered out by the following vals: {{ | 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]] | |||
Revision as of 02:21, 25 January 2023
| Interval information |
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.
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 by the following vals: Template:Val list. In addition, it is tempered out by 353edo, where it is connected to a proposal to reform the Hebrew calendar, hence its name.