Search found 221 matches

by Dave Keenan
Thu Nov 03, 2016 7:06 pm
Forum: Linear Temperament notations
Topic: List of 7-prime limit accidentals
Replies: 13
Views: 743

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

I think your asterisk note above should say "* ambiguous, usually refers to a different comma" rather than "... different accidental". The ratios are a mixed collection from personal experience, my own comma lists, commas from popular temperaments, or commas / ratios from the fol...
by Dave Keenan
Wed Nov 02, 2016 7:24 pm
Forum: Linear Temperament notations
Topic: List of 7-prime limit accidentals
Replies: 13
Views: 743

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

One accidental pair which I'd be interested in is for 256:245, the difference between 8/7 and 35/32. 245:256 is :.::~~||: which is the apotome-complement of :'::~|): i.e. :.::~~||: = :.::~!)::#: 9:10 is :.::)X(: = :.::\ \!::x: You should be able to get the rest from George's spreadsheet, using figu...
by Dave Keenan
Wed Nov 02, 2016 5:21 pm
Forum: Linear Temperament notations
Topic: List of 7-prime limit accidentals
Replies: 13
Views: 743

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

That's marvelous work, Xen. For Moments of Symmetry based on pentatonic scales, it would be very useful to have accidentals for 16:15 and 256:243. 15:16 is :.::/||\: 256:243, the limma, is :.::||\: I think I'd prefer to use two accidentals for neutral or major second-sized ratios like 160/147 or 9/8...
by Dave Keenan
Sun Oct 30, 2016 6:04 pm
Forum: Equal Division notations
Topic: EDOs with multiple prime mappings
Replies: 42
Views: 1814

Re: EDOs with multiple prime mappings

I must admit this comes as rather a shock, after having come around to your way of thinking regarding the use of fractional 3-limit notations, at least in the case of EDOs with medium to large errors in their fifths. Alright, I've banged my head against the wall long enough. What was the metaphorica...
by Dave Keenan
Sun Oct 23, 2016 1:58 pm
Forum: Interval and Chord names
Topic: Chord Names in Sagittal
Replies: 9
Views: 501

Re: Chord Names in Sagittal

Ok so just to clarify. P and p means Pao-major and Pai-minor, T and t mean Tai-major, and Tao-minor. Right? I thought I understood your intention there and was willing to go along with it and see how it panned out. But I thought you would use uppercase P for Pai because it is an upward alteration a...
by Dave Keenan
Sun Oct 23, 2016 12:31 pm
Forum: Interval and Chord names
Topic: Chord Names in Sagittal
Replies: 9
Views: 501

Re: Chord Names in Sagittal

Hmm, so you're suggesting we use the pai7 as the default 7? Why not the tao7? Because the pai-flat 7 is the default in conventional music (where pai vanishes). The default 7th in 12-edo is not the tao-flat 7th (harmonic seventh). I would modify the above as: 1. No need to qualify the triad if it's ...
by Dave Keenan
Sun Oct 23, 2016 12:21 am
Forum: Interval and Chord names
Topic: Chord Names in Sagittal
Replies: 9
Views: 501

Re: Chord Names in Sagittal

Why not go the next step and drop the p and P and just call them Ct7 and C7? Because we don't do that in 12 EDO anyway, Cm7 means C Eb G Bb so Ct7 implies there is both a tai 3rd and tai 7th. Good point regarding Ct7. It would need to be written "C.t7" for it to be the approximate 4:5:6:7...
by Dave Keenan
Sat Oct 22, 2016 11:35 pm
Forum: Just Intonation notations
Topic: 13-limit JI
Replies: 50
Views: 3907

Re: 13-limit JI

On 2016-Sep-13, I wrote to Daniel Spreadbury (at Steinberg): Hi Daniel, I did post your explanation to the Sagittal forum. You can see a response here: http://forum.sagittal.org/viewtopic.php?p=372#p372 I just want to point out that since Dorico will only allow microtonality via EDOs, in order to no...
by Dave Keenan
Fri Oct 21, 2016 9:09 am
Forum: Interval and Chord names
Topic: Chord Names in Sagittal
Replies: 9
Views: 501

Re: Chord Names in Sagittal

Well in that case, I wouldn't even use major and minor, just the suffixes because it's too long winded to say all that. so 4:5:6:7 is C-pao-tai-7 or CPt7 for short possibly. C:E:\!::G:B:/|::b: can be called a C-pao-pai7 or CPp7 for short. Why not go the next step and drop the p and P and just call ...
by Dave Keenan
Thu Oct 20, 2016 2:05 pm
Forum: Equal Division notations
Topic: EDOs with multiple prime mappings
Replies: 42
Views: 1814

Re: EDOs with multiple prime mappings

So, after spending some time on this, I have indeed discovered that by dividing 9/8 (the one consistent with the best 3/2, provided the best 3/2 is no sharper than 720¢) instead of the limma and apotome, I can accomplish exactly the same results as my original proposal with one fewer symbol pair, a...

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