The Sagittal forum

Also, I begin to wonder about the silver ratio, δₛ = 1+√2 ≈ 2.414213562. It's another can of worms, but I'll bet a lot of this same structure could be generalized to it.

Well that's a tough act to follow... And Dave specifically told me not to do this. So, I'll do it just a bit :P I did some comma-hunting, using some rudimentary bounds (like on the counts of unique primes, the max individual prime count, and product complexity), and then just scanning big output lis...

In related news, I just realized today that some people say "hot on the trail" while others say "hot on the tail". A web search gives about a million hits for either one.

I finally got around to writing this up on the xenharmonic wiki, since I use it in a few of my other theory pages there: https://en.xen.wiki/w/Undirected_value

No progress made on the puzzle, but I do have a bunch of links to the Yahoo tuning list archive with relevant information about 29-HTT: https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_17512#17512 https://yahootuninggroupsultimatebackup.github.io/makemicromusic/topicId_6820#6964...

Hi Dannyu NDos . Good to see you again here on the forum. Re: notation, I agree with Yahya that the best way for you to notate these pitches would be to use the same notation Sagittal uses for standard tuning (AKA 12 Equal Divisions of the Octave, or 12-EDO), which is equivalent to standard notation...

It looks like one good way to go with this Yer temperament would be a 13-note MV3 scale , a 7L 4M 2s, with the pattern LMLLMLsLMLMLs, where L ≈ 103.4¢, M ≈ 85.9¢, and s ≈ 66.2¢. That gives you a lattice like this: - (-2,2) 11·13·17·19 13·19/11 585.4¢ (-1,2) 13·19   1133.7¢ (0,2) 11·13·19   482.0¢ (1...

It occurred to me this morning, now that I've been studying regular temperament theory for many months, to look into what a temperament that tempers out the commas that figure prominently in Yer would look like. If you temper out only the Blumeyer comma, you get this 2.11.13.17.19 subgroup mapping: ...

@Dave Keenan and @FloraC I have corrected my previous post. Hope I've got it in decent order now. Sorry for goofing up in the first place.

FloraC The Extreme precision level of Sagittal's standard JI notation is modeled after 2460-EDO, which uses the full Olympian symbol set, so the notation for 2460-EDO is just every Olympian symbol in order. Dave has corrected the above crossed-out statements in the next post. Sorry for any confusio...