Search found 51 matches

by cam.taylor
Mon May 09, 2016 5:11 pm
Forum: Just Intonation notations
Topic: 39-odd limit diamond in Olympian
Replies: 18
Views: 4424

Re: 39-odd limit diamond in Olympian

Here it is!!! Harmonics 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 running along the top (horizontal), and subharmonics running down the side (vertical). Let me know if there are any mistakes, or revisions that should be made. It took me longer than I expected, but then again, there are ...
by cam.taylor
Sun May 08, 2016 2:37 pm
Forum: Just Intonation notations
Topic: 39-odd limit diamond in Olympian
Replies: 18
Views: 4424

Re: 39-odd limit diamond in Olympian

I've got a whole bunch of enharmonics too, so people can, for example, choose to spell 13:7 as an alteration of either a major seventh or diminished octave.

I'm doing the diamond on D, because it's notationally symmetrical. Should make things a bit easier.
by cam.taylor
Sun May 08, 2016 2:16 pm
Forum: Just Intonation notations
Topic: 39-odd limit diamond in Olympian
Replies: 18
Views: 4424

39-odd limit diamond in Olympian

Hi all. Thought I would write up a chart for most common use intervals in JI, showing the minute differences in intonation amongst the 39-odd limit ratios. The 20x20 diamond seems to have 317 unique pitches, so it's taking a bit of a while, but I'm getting there, and will definitely post here and on...
by cam.taylor
Fri May 06, 2016 2:30 pm
Forum: Just Intonation notations
Topic: Explain the dual comma symbols
Replies: 4
Views: 1163

Re: Explain the dual comma symbols

Sorry, conflated the two at the time. Guess it's been too long since I've been actively using all these symbols. Time to get back into it!
by cam.taylor
Sun Apr 24, 2016 4:24 pm
Forum: Interval and Chord names
Topic: 10 EDO, 20 EDO, 25 EDO Intervals?
Replies: 2
Views: 1138

Re: 10 EDO, 20 EDO, 25 EDO Intervals?

William has abbreviated a little. In 10 equal, a gai MINOR second (e.g. from D to E :/|): :b: ) should be equal to a gao MAJOR second (e.g. from D to E :\!): ). In medium precision JI or near-just tunings, this could be equating something like 13:12 with something like 35:32. Things get tricky if we...
by cam.taylor
Thu Apr 21, 2016 11:00 pm
Forum: Just Intonation notations
Topic: Explain the dual comma symbols
Replies: 4
Views: 1163

Re: Explain the dual comma symbols

[thumbs up] I find myself using :|(: :!(: more and more these days, not only for prime 19, but for the difference between :/|: :\!: and :|): :!):, as Dave said above. It's only a schisma (~2c) apart from 225:224 (like the difference between 14/9 and 25/16), too, so I use it for that most of the time...
by cam.taylor
Sun Dec 06, 2015 11:55 am
Forum: Equal Division notations
Topic: 103EDO and 113EDO
Replies: 3
Views: 1090

103EDO and 113EDO

103EDO and 113EDO have been topics of Scott Dakota's posts over on the XA Math facebook page, and I'm quite interested in exploring them as 103=31+72 and 113=41+72, so they're both Miracle friendly and very compatible with material from 31, 41 and 72EDOs as well as being excellent competitors at hig...
by cam.taylor
Mon Nov 23, 2015 8:01 am
Forum: Just Intonation notations
Topic: 13-limit JI
Replies: 52
Views: 11056

Re: 13-limit JI

Well, Cam already notated 13/8 as an alternation of 27/16 (A+ in Johnston when C=1/1) rather than 8/5 (Ab) I actually thought to notate the 13:8s as a minor sixth raised by :/|):, as "mutually intelligible" with Johnston, but the Sagittal convention as I understand it is to have the least number of...
by cam.taylor
Mon Nov 16, 2015 7:59 am
Forum: Just Intonation notations
Topic: 13-limit JI
Replies: 52
Views: 11056

Re: 13-limit JI

OK so I went ahead and translated Johnston quartet 10, II, by hand, and it was incredibly simple, and very intuitive. Perhaps because there aren't too many unique pitches. I have used :(|\: throughout, without accent marks, because I thought the score would be a lot more intuitive without them. Very...
by cam.taylor
Sat Nov 14, 2015 7:15 pm
Forum: Just Intonation notations
Topic: 13-limit JI
Replies: 52
Views: 11056

Re: 13-limit JI

Great! Good choice. I'll scan it for you. We might also try something very complex (a passage from the 5th quartet perhaps). That would be amazing. I've been looking forward even just to see a score for those two pieces, they're probably my favourite by Johnston. Really beautiful, intricate harmoni...