Talk:Septimal comma
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Is this really the definition?
[edit]The tonalsoft Septimal Comma page has four different possible definitions for a septimal comma. I would have expected it to be a different ratio than the one we have here, according to the description we give, as 4/3 x 4/3 / 7/4 = 64/63. That is the septimal comma which is a difference between 3-limit (4/3^2) and 7-limit (7/4) intervals as the lead describes. The one we have now has a 5 in its prime factorization. Alternatively, 49/48 is a difference between a 7-limit (7/4^2) abd 3-limit (3/1) tuning, but this would be less common and because we are compounding the more difficult 7-limit interval rather than the 3-limit. There are others, apparently, when a 5 limit intervals are admitted. Which should we be using? - Rainwarrior 22:01, 29 July 2006 (UTC)
- The term could refer to any small interval with a factor of 7 in it, so we should mention all the important ones: 36/35, 49/48, 50/49, 64/63, 126/125, and 225/224 at least. It's pointless to debate which one should be called "the" septimal comma. Anyone who wants to be unambiguous will just use the ratio. —Keenan Pepper 22:30, 29 July 2006 (UTC)
- I'm currently rewriting this article to be more general, and cite sources. —Keenan Pepper 22:53, 29 July 2006 (UTC)
Requested audio
[edit]I have added an audio example to the article. Hyacinth (talk) 23:11, 13 August 2008 (UTC)