49/48: Difference between revisions

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+ chroma function
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{{Infobox Interval
{{Infobox Interval
| Name = large septimal diesis, large septimal sixth-tone, slendro diesis, semaphore comma, semaphoresma
| Name = large septimal diesis, large septimal sixth-tone, slendro diesis, semaphore comma, semaphoresma
| Color name = zz2, zozo 2nd,<br>Zozo comma
| Color name = zz2, zozo 2nd,<br>zzM, zozoma
| Sound = Ji-49-48-csound-foscil-220hz.mp3
| Sound = Ji-49-48-csound-foscil-220hz.mp3
| Comma = yes
| Comma = yes
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== Temperaments ==
== Temperaments ==
49/48 is [[tempered out]] in [[15edo]] and [[19edo]], where the two intervals are equated, and the fourth is split in a perfect half. In the 2.3.7 [[subgroup]], this is known as the [[semaphore]] temperament, and the comma is thus known as the '''semaphore comma''' or '''semaphoresma'''.  
49/48 is [[tempered out]] in [[15edo]] and [[19edo]], where 7/6 and 8/7 are equated, and the fourth is split in a perfect half. 3/1 is also split into two [[7/4]]~[[12/7]]'s. In the 2.3.7 [[subgroup]], this is known as the [[semaphore]] temperament, and the comma is thus known as the '''semaphore comma''' or '''semaphoresma'''.  


''It cannot be tempered out if all of the consonances of the 7-odd-limit are distinct'', but it ''can'' be equated with other commas; for example:
''It cannot be tempered out if all of the consonances of the 7-odd-limit are distinct'', but it ''can'' be equated with other commas; for example: