Search found 1004 matches

by Dave Keenan
Sat Mar 20, 2021 1:38 pm
Forum: Linear Temperament notations
Topic: 5-limit ripple (12p&23p) notation
Replies: 3
Views: 102

Re: 5-limit ripple (12p&23p) notation

Ooh yeah. That's a tricky one. Another approach would be to use 12 pseudo-nominals, so a 12-note chain of the approximately 101 cent generators would be notated the same as 12edo.: A Bb B C C# D Eb E F F# G G# Then we only need a sagittal for 12 generators, to represent an approximate 12 cent sharpe...
by Dave Keenan
Sat Mar 20, 2021 3:16 am
Forum: Linear Temperament notations
Topic: general methods for linear temperament notation
Replies: 31
Views: 761

Re: general methods for linear temperament notation

Perhaps if I started over going through my 1/1 journals (beginning in 1985) but this time keeping my eyes peeled for prime exponent vectors, I might not find any. You might, if there's an article by Joe Monzo. But he may have used a different term. Their use seems to be a key historical development...
by Dave Keenan
Sat Mar 20, 2021 2:21 am
Forum: Linear Temperament notations
Topic: general methods for linear temperament notation
Replies: 31
Views: 761

Re: general methods for linear temperament notation

I also ended up on your (Dave) page , and it says you're the "one of the developers of the regular mapping paradigm". That links out to the same page I commented about on Facebook yesterday , that came up in relation to the "bent tuning forks". I certainly am one of the develope...
by Dave Keenan
Fri Mar 19, 2021 2:07 pm
Forum: Comparison with other notation systems
Topic: paper by Sabat and Nicholson
Replies: 2
Views: 142

Re: paper by Sabat and Nicholson

Jeez. They have one Sagittal symbol in the whole paper. It's for the single most important comma. And they got it wrong! Figure 10 on page 16.
by Dave Keenan
Thu Mar 18, 2021 6:30 pm
Forum: Linear Temperament notations
Topic: general methods for linear temperament notation
Replies: 31
Views: 761

Re: general methods for linear temperament notation

Oh wait. You can right-align the elements if you use "array" instead of "matrix" as follows. [_]latex] \left[ \begin{array} {rrr} -1 & -10 & 1 \\ 100 & 5 & 16 \\ 13 & 7 & 7 \end{array} \right] [/latex] \left[ \begin{array} {rrr} -1 & -10 & 1 \\ 100...
by Dave Keenan
Thu Mar 18, 2021 5:36 pm
Forum: Linear Temperament notations
Topic: general methods for linear temperament notation
Replies: 31
Views: 761

Re: general methods for linear temperament notation

One of my takeaways from this is that I never want to see angle brackets again. And I may need to rig these ⎡ ⎤ ⎣ ⎦ characters up in WinCompose. Perhaps a little extreme. But if so, you'll also need the extensions ⎢ ⎥ I copied them from this table: https://en.wikipedia.org/wiki/Bracket#Encoding_in_...
by Dave Keenan
Thu Mar 18, 2021 4:32 pm
Forum: Linear Temperament notations
Topic: general methods for linear temperament notation
Replies: 31
Views: 761

Re: general methods for linear temperament notation

Admittedly, monzo is pretty catchy name. I may never fully wean myself off it. And Joe's the man; he sang on a piece of mine the first time I ever had one recorded. I love Joe too. He's such a kind and generous man. He deserves to have the prime exponent vector named after him. He did the most to p...
by Dave Keenan
Thu Mar 18, 2021 3:11 pm
Forum: Linear Temperament notations
Topic: general methods for linear temperament notation
Replies: 31
Views: 761

Re: general methods for linear temperament notation

We use prime exponent vector together a lot. I'm comfortable enough with that I see through it as a synonym for monzo. That's hilarious, in a sad kind of way — that you have to see "through" a term that is self-explanatory to one that is arbitrary. But presumably, someone who had never ha...
by Dave Keenan
Thu Mar 18, 2021 1:11 pm
Forum: Comparison with other notation systems
Topic: proportional/spatial + symbolic notation
Replies: 10
Views: 466

Re: proportional/spatial + symbolic notation

Many years ago I bought a copy of Twentieth Century Microtonal Notation and had it sent to George as a gift. We referred to it in designing Sagittal.
by Dave Keenan
Thu Mar 18, 2021 12:27 pm
Forum: Linear Temperament notations
Topic: general methods for linear temperament notation
Replies: 31
Views: 761

Re: general methods for linear temperament notation

Okay, I see the problem, but I'm still pretty disturbed. I never learned this [ ⟩ angle bracket notation when I was studying linear algebra in college. We always just wrote things with plain brackets [ ]. Why not just use those for generator-count vectors? I never learned it in math either, but I l...