## Search found 639 matches

Wed Apr 21, 2021 11:06 am
Forum: Linear Temperament notations
Topic: general methods for linear temperament notation
Replies: 31
Views: 469

### Re: general methods for linear temperament notation

Sure. The prime exponent vectors would only match generator count vectors for a single form of the mapping matrix, the one I gave above, which I do not have a name for; it is simply the form that Mike uses in his lectures on the wiki.

I copy-pasted the latex from you, silly.
Wed Apr 21, 2021 9:36 am
Forum: Linear Temperament notations
Topic: general methods for linear temperament notation
Replies: 31
Views: 469

### Re: general methods for linear temperament notation

I notice that he not only uses the same notation |a b c ...> for prime exponents and generator counts, he doesn't use plus signs and he even calls the latter "tempered monzos" — yikes — helping making my case that Gene's monzo/val terminology is unhelpful and just raises a barrier to entr...
Fri Apr 16, 2021 10:31 am
Forum: Just Intonation notations
Topic: Simplified "Stoic" Sagittal for 13-limit tonality diamond use
Replies: 19
Views: 337

### Re: Simplified "Stoic" Sagittal for 13-limit tonality diamond use

So the Stoics were indeed alternative Athenians. :) That's amazing. I've been quiet here but following along. I really love how this has been coming together. I also meant to tell you that I've been fixing up your attempts to display your attached images. Unfortunately, it doesn't work if you simpl...
Fri Apr 02, 2021 2:20 am
Forum: Notations for other tunings
Topic: Yer: a Sagittal study
Replies: 20
Views: 2004

### Re: Yer: a Sagittal study

I just noticed that Thomas Nicholson, using EHEJIPN, prepends the cents deviations with the sharped or flatted nominal whenever it is not the bare nominal:

Lovely piece. Shame it's not notated in Sagittal, of course
Thu Apr 01, 2021 3:55 am
Forum: Notations for other tunings
Topic: Yer: a Sagittal study
Replies: 20
Views: 2004

### Re: Yer: a Sagittal study

But I don't understand why you think I would agree that the other option (-20 in your example) would be bonkers? You don't need to know Revo at all. ​You just have to be told to treat anything with parallel vertical lines like a sharp and pointing upward, as a sharp, and treat anything with paralle...
Wed Mar 31, 2021 3:18 pm
Forum: Just Intonation notations
Topic: JI precision level capture zone boundary defining EDA step names (besides tina)
Replies: 20
Views: 3346

### Re: JI precision level capture zone boundary defining EDA step names (besides tina)

So we'd have:

tina
mina
ultrina
hina
athina

That works for me. (Edit: now updated in the code base)
Wed Mar 31, 2021 4:02 am
Forum: Notations for other tunings
Topic: Yer: a Sagittal study
Replies: 20
Views: 2004

### Re: Yer: a Sagittal study

Footnote 18 in the XH article (my bolding) says: While the Reinhard method makes use of numbers of cents modifying 24-EDOpitches, it is not possible to use separate quartertone symbols at the same time as Sagittal symbols, so the numbers would need to be specified relative to steps of 12-EDO. The n...
Tue Mar 30, 2021 7:07 am
Forum: Notations for other tunings
Topic: Yer: a Sagittal study
Replies: 20
Views: 2004

### Re: Yer: a Sagittal study

Dave Keenan , when you get a chance, could I get a direct yes/no on my proposed approach to including cents deviations as a supplement to Sagittal notation, as I described a few posts back ? On page 22 of the XH article you write: The excellent results achieved using the Reinhard method of notation...
Sat Mar 20, 2021 3:40 am
Forum: Linear Temperament notations
Topic: general methods for linear temperament notation
Replies: 31
Views: 469

### Re: general methods for linear temperament notation

regular mapping paradigm. Right! I'll get it straight. Thanks. I researched those dates from the tuning list archive and my emails. Thanks for doing all that. Perhaps I should pester Graham to tack some more dates and names onto that thing, benefitting from all your research just now. Isn't it past...
Sat Mar 20, 2021 2:53 am
Forum: Linear Temperament notations
Topic: general methods for linear temperament notation
Replies: 31
Views: 469

### Re: general methods for linear temperament notation

At that stage, I had already described regular mapping in my Nov 2003 paper https://www.dkeenan.com/Music/MicroGuitar.pdf, but it was specific to the micro-guitar application. In that paper I use the term "prime exponent list" rather than "prime exponent vector" to make it sound...