Search found 1177 matches

by Dave Keenan
Wed May 31, 2023 2:43 pm
Forum: Equal Division notations
Topic: Weird and missing notations in the pdf
Replies: 22
Views: 6546

Re: Weird and missing notations in the pdf

I have updated https://sagittal.org/sagittal.pdf to correct the errors you found in figures 8 and 9. Thanks @רועיסיני.

I also added a link at the end, that will take the reader to the original published version of this paper, in case it is of historical interest.
by Dave Keenan
Wed May 31, 2023 11:23 am
Forum: Equal Division notations
Topic: Weird and missing notations in the pdf
Replies: 22
Views: 6546

Re: Weird and missing notations in the pdf

... seems like there are some notations that are not in the par file yet, like the mauve, cyan and yellow range notations , Did you perhaps mean the green , cyan and yellow range notations? The mauve, now called purple, range is complete with 26, 45, 52 and 64 (:/|): = 1/3 and 1/2, :(|\: = 2/3), wh...
by Dave Keenan
Tue May 30, 2023 11:06 am
Forum: The lounge
Topic: Dave's variant of perceptual uniformity of hue
Replies: 2
Views: 6652

Re: Dave's variant of perceptual uniformity of hue

Here's a set of 26 maximally distinct RGB colours I devised. https://dkeenan.com/Colour/RgbColourAlphabet.png Unlike those for the periodic table, these have unrestricted lightness, except that they needed to be distinct from both white and black backgrounds. I was able to name these 26 colours so t...
by Dave Keenan
Mon May 29, 2023 7:54 pm
Forum: Equal Division notations
Topic: Weird and missing notations in the pdf
Replies: 22
Views: 6546

Re: Weird and missing notations in the pdf

I noticed lately that 130edo's notation in figure 8 on page 16 of the sagittal pdf has a double shaft symbol, :/||:, that is not an apotome complement of the matching single shaft symbol, which in this case is ://|:. That's the only time, except for the limma fraction notation, I've seen an officia...
by Dave Keenan
Thu May 25, 2023 11:34 pm
Forum: Notations for other tunings
Topic: Notation for Fibonacci tuning (Wilson's horogram #22)?
Replies: 27
Views: 15817

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

Thanks for the heads-up re Shavout and Sabbath. Interesting re our calendars and time zones. I believe that all 12n-EDOs up to 204edo, and 240edo, have consistent flag arithmetic. It was a Trojan design criterion to maximise this. Yes, but only for single-shaft symbols. Multi-shaft symbols, and more...
by Dave Keenan
Thu May 25, 2023 8:48 pm
Forum: Notations for other tunings
Topic: Notation for Fibonacci tuning (Wilson's horogram #22)?
Replies: 27
Views: 15817

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

The Trojan accidentals are not very good at flag arithmetic, ... I believe that all 12n-EDOs up to 204edo, and 240edo, have consistent flag arithmetic. It was a Trojan design criterion to maximise this. Tomorrow I will investigate your ://|: proposal and try again to understand how the 144-MOS does...
by Dave Keenan
Thu May 25, 2023 1:10 pm
Forum: Notations for other tunings
Topic: Notation for Fibonacci tuning (Wilson's horogram #22)?
Replies: 27
Views: 15817

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

Because this tuning is so thoroughly divorced from a chain of fifths that it requires 6 up/down pairs of accidentals for just 13 notes, a composer might well choose to use MOS nominals instead of chain-of-fifths nominals. Miller's law says this would have to be based on either the 5-MOS or the 8-MOS...
by Dave Keenan
Thu May 25, 2023 12:20 pm
Forum: Notations for other tunings
Topic: Notation for Fibonacci tuning (Wilson's horogram #22)?
Replies: 27
Views: 15817

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

Thanks for your corrections to my proposed 34-MOS notation. In making further suggestions you made a typo where you wrote: "A:b::|\: (or A:!!/:)". That should be A:\!!: . A mnemonic is that the slope of a lone barb never changes in going between evo and revo. This is true for both left and...
by Dave Keenan
Wed May 24, 2023 10:51 pm
Forum: Notations for other tunings
Topic: Notation for Fibonacci tuning (Wilson's horogram #22)?
Replies: 27
Views: 15817

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

[I had not read your above post when I posted the following,] I don't know what made you think that I don't like the Trojan capture zones. I did not think you don't like them. But you seemed to allow that they might not be strictly adhered to, when you wrote: However, if you want to just borrow the ...
by Dave Keenan
Wed May 24, 2023 4:55 pm
Forum: Notations for other tunings
Topic: Notation for Fibonacci tuning (Wilson's horogram #22)?
Replies: 27
Views: 15817

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

[I wrote almost all of the following before your above message arrived.] Ah. I see now, that we can't simply notate the 144-note MOS as for 144edo with monotonic (non-crossing) nominals. That results in inconsistent generator counts in some cases. For each 144edo accidental, I have chosen the genera...