Search found 1177 matches

by Dave Keenan
Wed Jun 07, 2023 10:34 pm
Forum: Notations for other tunings
Topic: Notation for Fibonacci tuning (Wilson's horogram #22)?
Replies: 27
Views: 15808

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

I just noticed that +16 generators can be notated using :|||): = :/||::/||:, so when using 8-note MOS nominals there is also a symbol for the double chroma. Thanks! I added it to the table above. ... in oneironic notation Q Is a generator away from L, not from N, so I think it's better to stay cons...
by Dave Keenan
Wed Jun 07, 2023 6:16 pm
Forum: Equal Division notations
Topic: Weird and missing notations in the pdf
Replies: 22
Views: 6544

Re: Weird and missing notations in the pdf

I confirm that George's 270edo notation is valid, but I note that it uses the map for the equal-temperament called 270g. Which is to say that it uses the second-best mapping of the prime 17. This is OK because 270edo is not 17-odd-limit consistent, although it is {1 3 5 7 9 11 13 15 19}-consistent. ...
by Dave Keenan
Wed Jun 07, 2023 3:31 pm
Forum: Notations for other tunings
Topic: Notation for Fibonacci tuning (Wilson's horogram #22)?
Replies: 27
Views: 15808

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

רועיסיני Please check the following summary for accuracy. The extended Trojan notation we have agreed on, as a chain-of-fifths notation for the Fibonacci tuning, is: Acc Gens Cents ---------------------- D:A +12 700.31 :/||\: = :#: +84 102.17 :~|(: -89 6.03 :)~|: +55 9.76 :/|: -34 15.79 :(|: 110 19...
by Dave Keenan
Wed Jun 07, 2023 1:27 pm
Forum: Equal Division notations
Topic: Can all the promethean symbols be realized consistently in the same edo?
Replies: 17
Views: 2944

Re: Can all the promethean symbols be realized consistently in the same edo?

Okay, so the secondary commas and the terms "Herculean" and "Olympian" are only specific closed sets of symbols, which are listed in the spreadsheet. Good to know! What about things like 119:120 being notated as :~|(: in table 1 of the pdf? How is this phenomenon called? Does it...
by Dave Keenan
Tue Jun 06, 2023 7:37 pm
Forum: Equal Division notations
Topic: Can all the promethean symbols be realized consistently in the same edo?
Replies: 17
Views: 2944

Re: Can all the promethean symbols be realized consistently in the same edo?

Second, for 971edo I had kind of an opposite problem, where all the accidentals are mapped to distinct degrees but there are not enough of them, so we have to use accent marks. The schisma maps to 2\971 and the mina to 0, but the JI value for the double mina maps to 1\971, so I devised this Olympia...
by Dave Keenan
Tue Jun 06, 2023 6:22 pm
Forum: Equal Division notations
Topic: Can all the promethean symbols be realized consistently in the same edo?
Replies: 17
Views: 2944

Re: Can all the promethean symbols be realized consistently in the same edo?

First, for 400edo I had a bit of a challenge. The beginning wasn't hard, but I'm not sure how to represent 14 and 17 degrees. That's the notation I have so far: :)|: :|(: :~|: :)~|: :~|(: :~~|: :/|: :)/|: :|): :)|): :|\: :~|): :(|(: ? :)//|: :/|): ?? :/|\: :)/|\: :(|): ?? :(|\: :)|\\: 1 2 3 4 5 6 7...
by Dave Keenan
Tue Jun 06, 2023 2:48 pm
Forum: Equal Division notations
Topic: Can all the promethean symbols be realized consistently in the same edo?
Replies: 17
Views: 2944

Re: Can all the promethean symbols be realized consistently in the same edo?

Those are interesting results. I certainly wouldn't have expected any EDO to use all the Promethean symbols. They are too unevenly spaced. They were the result of seeing how far we could push a system with no accents. We looked at every geometrically-viable combination of the 8 flags at-most 3 at a ...
by Dave Keenan
Tue Jun 06, 2023 11:53 am
Forum: Notations for other tunings
Topic: Notation for Fibonacci tuning (Wilson's horogram #22)?
Replies: 27
Views: 15808

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

That map was primarily chosen to preserve the generator counts of those Trojan-derived symbols that we had already agreed on, and :)~|: which we agreed on. In the end, the generator counts for primes greater than 23 were not relevant, nor was the generator count for prime 19. But they were chosen to...
by Dave Keenan
Mon Jun 05, 2023 9:52 pm
Forum: Notations for other tunings
Topic: Notation for Fibonacci tuning (Wilson's horogram #22)?
Replies: 27
Views: 15808

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

The Trojan accidentals are not very good at flag arithmetic, so I wasn't very worried about that, but if it's important to you we may try to fix it! I haven't found a good accidental between :/|~: and :/|): in the graph , but I think I have a solution: use ://|: instead of :|): for -68g, and thus :...
by Dave Keenan
Thu Jun 01, 2023 11:03 pm
Forum: Equal Division notations
Topic: Weird and missing notations in the pdf
Replies: 22
Views: 6544

Re: Weird and missing notations in the pdf

You make a good case for standardising those EDO. I would also be honouring a commitment I made to George. But first I have some earlier messages of yours I need to respond to. Sorry I am so slow responding.