Search found 670 matches
- Sat Aug 26, 2023 10:32 am
- Forum: The lounge
- Topic: aperiodic monotiles
- Replies: 5
- Views: 8722
aperiodic monotiles
Earlier this year, as I'm sure many of you will already know, mathematics was blessed with the discovery of aperiodic monotiles — not just one of them, but many! In March, the team consisting of David Smith, Joseph Samuel Myers, Craig S. Kaplan, and Chaim Goodman-Strauss described the hat and the tu...
- Mon Sep 26, 2022 7:04 am
- Forum: Mathematical theory
- Topic: Noble frequency ratios as prime-count vectors in ℚ(√5)
- Replies: 38
- Views: 19308
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.
- Sun Sep 25, 2022 4:18 am
- Forum: Mathematical theory
- Topic: Noble frequency ratios as prime-count vectors in ℚ(√5)
- Replies: 38
- Views: 19308
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...
- Wed Jun 29, 2022 1:01 am
- Forum: The lounge
- Topic: Ass-backwards
- Replies: 3
- Views: 7114
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.
- Sat Apr 16, 2022 1:24 am
- Forum: Mathematical theory
- Topic: Terminology for multiplicative equivalents of common additive concepts
- Replies: 11
- Views: 12771
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
- Tue Mar 01, 2022 12:15 pm
- Forum: Notations for other tunings
- Topic: Notation for George Secor's High-Tolerance Temperament
- Replies: 13
- Views: 13373
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...
- Sat Nov 06, 2021 1:40 am
- Forum: Notations for other tunings
- Topic: How can I notate my own temperament?
- Replies: 2
- Views: 6035
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...
- Sun Oct 31, 2021 4:40 am
- Forum: Notations for other tunings
- Topic: Yer: a Sagittal study
- Replies: 22
- Views: 19309
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...
- Sat Oct 30, 2021 11:26 am
- Forum: Notations for other tunings
- Topic: Yer: a Sagittal study
- Replies: 22
- Views: 19309
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: ...
- Tue Oct 26, 2021 11:21 am
- Forum: Equal Division notations
- Topic: How is 2460edo *actually* notated?
- Replies: 8
- Views: 5616
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.