Search found 1177 matches

by Dave Keenan
Tue Mar 23, 2021 11:15 am
Forum: Linear Temperament notations
Topic: 5-limit misty (12p&51p) notation
Replies: 9
Views: 5857

Re: 5-limit misty (12p&51p) notation

I see that Misty is not in Middle Path . And the mapping given in the Xen Wiki https://en.xen.wiki/w/Misty_family is the far more complex: [⟨3 0 26], ⟨0 1 -4]⟩ Comma: 67108864/66430125 = [26 -12 -3⟩ POTE generator: ~3/2 = 703.111 Map: [<3 0 26|, <0 1 -4|] EDOs: 12, 51, 63, 75, 87, 99, 285, 384 So th...
by Dave Keenan
Mon Mar 22, 2021 12:53 pm
Forum: Linear Temperament notations
Topic: Schisma accents in regular temperament notation
Replies: 1
Views: 2914

Re: Schisma accents in regular temperament notation

That's a great result! Thanks for doing that survey, Herman.
by Dave Keenan
Sun Mar 21, 2021 10:42 pm
Forum: Linear Temperament notations
Topic: 5-limit ripple (12p&23p) notation
Replies: 3
Views: 3650

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

Oh yes. That's beautiful. So G:#: = A:b::/|: and G:#::E:b: can be spelled A:b::/|::E:b: and everything obeys the rule that it's a properly -tempered 2:3 if it's spelled anti-alphabetically, or if it's spelled alphabetically and is narrowed by a 5-comma symbol. Same for tempered 4:5s. This seems to v...
by Dave Keenan
Sat Mar 20, 2021 1:38 pm
Forum: Linear Temperament notations
Topic: 5-limit ripple (12p&23p) notation
Replies: 3
Views: 3650

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: 17471

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: 17471

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: 6685

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: 17471

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: 17471

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: 17471

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...