Search found 884 matches

by Dave Keenan
Wed Nov 25, 2020 3:59 pm
Forum: The lounge
Topic: terminology for multiplicative equivalents of common additive concepts
Replies: 9
Views: 1350

Re: terminology for multiplicative equivalents of common additive concepts

Am reading my collection of 1/1 magazines from the 80's and I came across an article by Ben Johnston called "Rational Structures in Music" in which he refers to octave reduced pitches as "octaved". We could then say that octave reducing is "octaving". I kind of like it...
by Dave Keenan
Fri Nov 20, 2020 10:20 am
Forum: Just Intonation notations
Topic: developing a notational comma popularity metric
Replies: 490
Views: 35144

Re: developing a notational comma popularity metric

Perhaps I should pick myself up a copy of OTSOT, then. Or at least stop publicly admitting that I haven't read it. ;) I suggest just using the Internet Archive version: https://archive.org/stream/onsensationston01helmgoog#page/n5/mode/2up Sometime you might read the table of contents and skim the i...
by Dave Keenan
Fri Nov 20, 2020 9:55 am
Forum: Linear Temperament notations
Topic: List of 7-prime limit accidentals
Replies: 27
Views: 11190

Re: List of 7-prime limit accidentals

cmloegcmluin wrote: Fri Nov 20, 2020 8:51 am Should these formatting and parsing options be permitted for vals, too?
I can't think of any reason why they shouldn't.
by Dave Keenan
Thu Nov 19, 2020 7:33 pm
Forum: Just Intonation notations
Topic: developing a notational comma popularity metric
Replies: 490
Views: 35144

Re: developing a notational comma popularity metric

Yes. I'm familiar with Euler's gradus suavita t is. I included it among a number of similar measures in a spreadsheet/chart I published a long time ago: http://dkeenan.com/Music/HarmonicComplexity.zip And I believe Helmholtz' roughness is closely related to Sethares' dissonance, in this spreadsheet:...
by Dave Keenan
Wed Nov 18, 2020 12:12 pm
Forum: Equal Division notations
Topic: A proposal to simplify the notation of EDOs with bad fifths
Replies: 111
Views: 28227

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

I didn't mean to imply that I thought groups ever had bounded the colors. My understanding was that before we had the noble mediants, we had nothing . We had just decided, up to 72-EDO, which ones were which color, and not worried about where the exact boundaries should be, until we wanted volleo61...
by Dave Keenan
Wed Nov 18, 2020 11:48 am
Forum: The lounge
Topic: Dave's variant of perceptual uniformity of hue
Replies: 1
Views: 113

Re: Dave's variant of perceptual uniformity of hue

I have since learned that my formula for mapping from the standard H (hue) parameter of HSLuv to the one that resulted in my 9 hues above, that I consider evenly-spaced perceptually, only works for a lightness of around 70%. In fact it's the reverse function that I defined, as that's what I needed t...
by Dave Keenan
Wed Nov 18, 2020 11:24 am
Forum: Equal Division notations
Topic: A proposal to simplify the notation of EDOs with bad fifths
Replies: 111
Views: 28227

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

I think "phidiant" or "ϕediant" is a clever term, with mnemonic value in an exposition on the subject of noble mediants, but I'm wary of jargon, since it tends to make a field impenetrable to newcomers. So I recommend confining it to such an exposition and using "noble-medi...
by Dave Keenan
Tue Nov 17, 2020 5:00 pm
Forum: Equal Division notations
Topic: A proposal to simplify the notation of EDOs with bad fifths
Replies: 111
Views: 28227

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

Okay, glad I'm not the only one then. Yeah, I'm comfortable enough with the concept and motive for the phi-based boundaries, actually. But I just don't know if there's a pattern to the integers they're noble mediants of. Maybe Dave can shed light on that. The ratios that they are noble mediants of,...
by Dave Keenan
Tue Nov 17, 2020 4:39 pm
Forum: Equal Division notations
Topic: A proposal to simplify the notation of EDOs with bad fifths
Replies: 111
Views: 28227

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

I'm not really sure there is [a pattern in the phidiant boundaries], apart from that they create Fibonacci-like sequences that alternate between colors: 66°113 , 7°12 , 73°125 , 80°137 , 153°262 , 233°399 . True. There's no pattern, but I hope some of the (fuzzy) reasons I've given above make sense...
by Dave Keenan
Tue Nov 17, 2020 4:15 pm
Forum: Equal Division notations
Topic: A proposal to simplify the notation of EDOs with bad fifths
Replies: 111
Views: 28227

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

I like "phidiant"! It's especially nice if you pronounce φ as /fiː/ (same as "fee"), which I don't, but have nothing against it. I think I'd like to borrow that word for my writings on metallic MOS scales, if you don't mind. As it stands, the last paragraph of this section is an...