197edo
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author genewardsmith and made on 2010-10-23 05:52:03 UTC.
- The original revision id was 172953709.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
The 197 equal division gives excellent results for tuning both marvel, the planar temperament tempering out 225/224, and [[Kleismic family|catakleismic]], the temperament tempering out both 225/224 and 4375/4374, which has wedgie <<6 5 22 -6 18 37||. Among patent vals, in fact, it gives the best results for both. In fact, the 11-limit patent val <197 312 457 553 682| has a comma basis [225/224, 4375/4374, 441/440, 65536/65219], so taking 225/224 and 441/440 together (prodigy temperament) also works well with 197edo, and taking 225/224, 441/440, and 4375/4374 (an alternative 11-limit catakleismic) is once again excellently tuned by 197edo. If we use <197 312 457 553 681| for the val, we can also use 197edo as an excellent tuning for the 11-limit version of marvel temperament, tempering out 385/384 as well as 225/224. If we add 4375/4374 to the comma list for 11-limit marvel, we get 11-limit catakleismic, and 197edo with the above val is also an excellent tuning for that.
Original HTML content:
<html><head><title>197edo</title></head><body>The 197 equal division gives excellent results for tuning both marvel, the planar temperament tempering out 225/224, and <a class="wiki_link" href="/Kleismic%20family">catakleismic</a>, the temperament tempering out both 225/224 and 4375/4374, which has wedgie <<6 5 22 -6 18 37||. Among patent vals, in fact, it gives the best results for both. In fact, the 11-limit patent val <197 312 457 553 682| has a comma basis [225/224, 4375/4374, 441/440, 65536/65219], so taking 225/224 and 441/440 together (prodigy temperament) also works well with 197edo, and taking 225/224, 441/440, and 4375/4374 (an alternative 11-limit catakleismic) is once again excellently tuned by 197edo.<br /> <br /> If we use <197 312 457 553 681| for the val, we can also use 197edo as an excellent tuning for the 11-limit version of marvel temperament, tempering out 385/384 as well as 225/224. If we add 4375/4374 to the comma list for 11-limit marvel, we get 11-limit catakleismic, and 197edo with the above val is also an excellent tuning for that.</body></html>