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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:14edo.

Interval Chart

I think the chart should compare the steps to smaller-numbered JI intervals. Not because thinking of the intervals in that way is useless or anything, it's just that most of those are pretty meaningless to me, and smaller JI intervals would probably give a better idea of what the steps of 14edo sound like.

- JinowKeatiuku September 16, 2010, 06:53:20 PM UTC-0700

My suggestion for wiki-editing in general is to ADD (or REARRANGE) rather than REPLACE. In this instance, there could be a "Nearest Simple JI Interval" and a "Nearest Complex JI Interval" or something like that, on the same chart.

I find it helpful, when considering an edo with a JI lens, to look at more than one JI interval that an interval of th edo can stand in for. Part of what I enjoy about composing with equal temperaments is th efficiency made possible by treating th same interval in different ways at different times.

- Andrew_Heathwaite September 17, 2010, 09:34:47 AM UTC-0700

As an example of a JI to tempered interval chart that gives multiple JI intervals, see th page for 5edo:

- Andrew_Heathwaite September 17, 2010, 09:49:53 AM UTC-0700

Fair enough, I'll add another chart. I already have the intervals from the 28edo chart I made.

- JinowKeatiuku September 17, 2010, 03:53:17 PM UTC-0700

What do you think of my additions to the chart? I don't know who did the first column of ratios, but they make no damn sense. If you're going to use integers that high, they darn well better relate to each other in some meaningful way. These don't and I'd like to remove them, because they offer nothing but confusion. The ratios I entered all are derived from Just sonorities that can clearly be heard as being approximated within 14-EDO, and the column of harmonics is there for those who like to keep everything in term of otonal ratios. Unless someone wants to come forward and justify each ratio in the first column, I'm going to delete them.

- igliashon July 18, 2011, 09:46:07 PM UTC-0700

Alright, I checked the history and the original chart was created by a "guest" whose IP I had trouble finding on any other pages. I deleted it, and replaced it with a chart based on the best near-Just sonority 14-EDO has to offer, which is a 5:7:9:11 tetrad. My approach leads to not referring to the 7-EDO 4th and 5th as approximations to 4/3 and 3/2, which I think is preferable because those intervals don't really work the way 3-limit intervals are expected to. YMMV, and I encourage additions (preferably in separate columns).

- igliashon July 20, 2011, 09:16:02 PM UTC-0700