Search found 1177 matches
- 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...
- 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.
- 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...
- 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...
- 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...
- 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...
- 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.
- 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...
- 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_...
- 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...