Search found 221 matches

by Dave Keenan
Wed Feb 01, 2017 3:02 pm
Forum: Just Intonation notations
Topic: Multi-Sagittal JI notation (one symbol per prime)
Replies: 6
Views: 989

Re: Multi-Sagittal JI notation (one symbol per prime)

Many thanks to Dave Ryan for pointing out that, in the Multi-Sagittal JI notation, the pythagorean part of the notation for any prime number (its nominal plus sharps or flats) can be determined simply by reducing the prime to the first octave, calculating its size in cents and looking it up in the f...
by Dave Keenan
Fri Jan 13, 2017 1:29 am
Forum: Equal Division notations
Topic: A proposal to simplify the notation of EDOs with bad fifths
Replies: 19
Views: 781

Re: A proposal to simplify the notation of EDOs with bad fifths

George Secor wrote:I submit that :/|\: and :(|): are the best choices for 4/10 and 6/10 apotome, because they are very meaningful.

Sold! Now what? Sleep on it for a few months in case anyone comes up with any objections, before we update sagittal.pdf?
by Dave Keenan
Tue Jan 10, 2017 11:15 pm
Forum: Equal Division notations
Topic: A proposal to simplify the notation of EDOs with bad fifths
Replies: 19
Views: 781

Re: A proposal to simplify the notation of EDOs with bad fifths

George, I note that you have implicitly accepted, without discussion, my proposed cutoffs at fifth sizes narrower than 19-edo and wider than 22-edo. Some might consider that 26-edo should be notated as a meantone. And you have implicitly accepted my suggestion that all such edos with narrow fifths s...
by Dave Keenan
Mon Jan 09, 2017 1:08 pm
Forum: Equal Division notations
Topic: A proposal to simplify the notation of EDOs with bad fifths
Replies: 19
Views: 781

Re: A proposal to simplify the notation of EDOs with bad fifths

Symbol Pronunciation Limma fractions represented Comments :|\): * ktai 55L 4/7* Olympian 55L is :.::(|): (495:512, limma less 55C) :|\ \: * chai 7L 3/5*, 2/3*, 5/7*, 3/4* Olympian 7L is :.::(|\: (27:28, limma less 7C) :||): = :!)::#:* tao-sharp 4/5*, 5/6**, 6...
by Dave Keenan
Sun Jan 08, 2017 11:51 pm
Forum: Equal Division notations
Topic: A proposal to simplify the notation of EDOs with bad fifths
Replies: 19
Views: 781

Re: A proposal to simplify the notation of EDOs with bad fifths

George Secor wrote:
Symbol	Pronunciation	Apotome fractions represented	Comments
:(|(: * janai 7:13S* 4/10* For 71-EDO*; olympian :(|(::.::.:

Why not

Symbol	Pronunciation	Apotome fractions represented	Comments
:/ /|: * phai 7:17S* 4/10* For 71-EDO*; olympian :/ /|::.::.:

?
by Dave Keenan
Fri Jan 06, 2017 12:02 am
Forum: Equal Division notations
Topic: A proposal to simplify the notation of EDOs with bad fifths
Replies: 19
Views: 781

Re: A proposal to simplify the notation of EDOs with bad fifths

For the benefit of other readers, I note that if I used asterisks in the way George has done, in my proposal, I think every symbol would have an asterisk, most would have two. I agree that where a spartan is valid in its primary comma role we should use it there, as you have done with pai :/|: and t...
by Dave Keenan
Tue Jan 03, 2017 6:15 pm
Forum: Equal Division notations
Topic: A proposal to simplify the notation of EDOs with bad fifths
Replies: 19
Views: 781

Re: A proposal to simplify the notation of EDOs with bad fifths

That's great stuff George. Thanks. To help folks evaluate it (OK, to help me ), I have a couple of requests. 1. Could you please give a table showing all the symbols you have used, in size order, and which apotome and limma fractions they correspond to. Similar to the one of mine that you quoted. 2....
by Dave Keenan
Sat Dec 10, 2016 1:39 pm
Forum: Notations for other tunings
Topic: Notation for Fibonacci tuning (Wilson's horogram #22)?
Replies: 2
Views: 182

Re: Notation for Fibonacci tuning (Wilson's horogram #22)?

Hi Herman. That's a tough one! Not intended to approximate JI. 12 generators before you get a decent fifth.

Can you tell me how many generators each alteration in your list corresponds to? And what mapping you have assumed, if any?
by Dave Keenan
Sat Nov 19, 2016 1:25 am
Forum: Linear Temperament notations
Topic: List of 7-prime limit accidentals
Replies: 13
Views: 692

Re: List of 7-prime limit / 6125-odd limit accidentals

Just to make sure that I understand systematic comma names correctly: 25:28 = +-[4 0 -2 1> (not in Olympian set) would be 7:25MS+A, and 1792:2025 = +-[-8 4 2 -1> (contained in Olympian set) would be c7:25MS+A, correct? Those are absolutely correct. Well done. Some of the ratios in the Olympian set ...
by Dave Keenan
Thu Nov 17, 2016 12:56 pm
Forum: Linear Temperament notations
Topic: List of 7-prime limit accidentals
Replies: 13
Views: 692

Re: List of 7-prime limit / 6125-odd limit accidentals

Ok, I finished the list of 7-limit ratios (including lower limits) with an exact Olympian representation: 7-limit Olympian set.pdf Nicely done. You could include the proper Sagittal symbols in the PDF, at higher resolution than the forum smilies, if you install the Bravura font. Unfortunately, ther...

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