Search found 659 matches

by cmloegcmluin
Mon Sep 26, 2022 7:04 am
Forum: The lounge
Topic: Noble frequency ratios as prime-count vectors in ℚ(√5)
Replies: 12
Views: 506

Re: Noble frequency ratios as prime-count vectors in ℚ(√5)

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.
by cmloegcmluin
Sun Sep 25, 2022 4:18 am
Forum: The lounge
Topic: Noble frequency ratios as prime-count vectors in ℚ(√5)
Replies: 12
Views: 506

Re: Noble frequency ratios as prime-count vectors in ℚ(√5)

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...
by cmloegcmluin
Wed Jun 29, 2022 1:01 am
Forum: The lounge
Topic: Ass-backwards
Replies: 3
Views: 2873

Re: Ass-backwards

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.
by cmloegcmluin
Sat Apr 16, 2022 1:24 am
Forum: The lounge
Topic: terminology for multiplicative equivalents of common additive concepts
Replies: 10
Views: 5279

Re: terminology for multiplicative equivalents of common additive concepts

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
by cmloegcmluin
Tue Mar 01, 2022 12:15 pm
Forum: Notations for other tunings
Topic: Notation for George Secor's High-Tolerance Temperament
Replies: 13
Views: 5828

Re: Notation for George Secor's High-Tolerance Temperament

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...
by cmloegcmluin
Sat Nov 06, 2021 1:40 am
Forum: Notations for other tunings
Topic: How can I notate my own temperament?
Replies: 2
Views: 1643

Re: How can I notate my own temperament?

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...
by cmloegcmluin
Sun Oct 31, 2021 4:40 am
Forum: Notations for other tunings
Topic: Yer: a Sagittal study
Replies: 22
Views: 8804

Re: Yer: a Sagittal study

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...
by cmloegcmluin
Sat Oct 30, 2021 11:26 am
Forum: Notations for other tunings
Topic: Yer: a Sagittal study
Replies: 22
Views: 8804

Re: Yer: a Sagittal study

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: ...
by cmloegcmluin
Tue Oct 26, 2021 11:21 am
Forum: Equal Division notations
Topic: How is 2460edo *actually* notated?
Replies: 8
Views: 2843

Re: How is 2460edo *actually* notated?

@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.
by cmloegcmluin
Tue Oct 26, 2021 2:29 am
Forum: Equal Division notations
Topic: How is 2460edo *actually* notated?
Replies: 8
Views: 2843

Re: How is 2460edo *actually* notated?

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...