Talk:A shruti list/WikispacesArchive

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All discussion below is archived from the Wikispaces export in its original unaltered form.
Please do not add any new discussion to this archive page.
All new discussion should go on Talk:A shruti list.

Regular temperaments of the full-status shrutis

Isn't the part below this heading an own article? Despite "A shruti list" isn't a good title at all, I have difficulties to see a relationship between both parts. Maybe it's only I who has this problem...

- xenwolf December 31, 2016, 10:57:29 AM UTC-0800

The full-status shrutis are a 22-tone just intonation scale, therefore they may be emulated (with varying degrees of accuracy) by a not-necessarily regular 22-tone temperament. Of the regular temperaments listed as usable to represent them, 1&21 has a sort of "half" status since the 2/1 feels not fully equivalent (at least in a strictly equal tuning) due to the scale not interlacing.

Even so, the 22-tone temperament idea is only partly correct on the deeper level as the best-intoned seventh of 22edo is actually 7/4, which would be a komal ni if it were on the list, that even being essentially as poor as the 5/4 of 12edo; and even in the same direction (~12.9923 cents vs. ~13.6863 cents). Rather, the two hard to prioritize komal ni shrutis (16/9 and 9/5) may actually represent an underlying median minor seventh (such as the pental-septimal 25/14), which 22edo misses almost entirely (it is ~18.403°22) and "real" 22-WTs do precious little to improve upon this intonation. If this is really the case, the shrutis are underlyingly similar to a quasi-meantone temperament where only the minor seventh regularly appears in a tempered form.

- diagonalia January 01, 2017, 07:18:35 PM UTC-0800