And what about this one : 0 125.0044 250.0088 400.6458 525.6502 650.6546 775.659 926.296 1051.3004 1176.3048 1301.3092 1451.9462 1576.9506 1701.955 With this...
67590
Petr PaÅ™Ãzek
p.parizek@...
Oct 1, 2006 8:05 am
Hi Shaahin. I'm afraid I don't quite understand. What is your approximant? What are you tempering out with this? Where did you get the 1701.955 cents? Petr...
67591
Graham Breed
x31eq
Oct 1, 2006 8:30 am
... I think the stand-out equal temperaments go 29, 46, 58, 72, ... Technically 46 is inconsistent but there's only one obvious way of mapping it. 26 might...
67592
Mohajeri Shahin
acousticsoft...
Oct 1, 2006 10:37 am
Hi Petr For a non-octavic scale with 13 unequal , unsorted hybrid divisions with a symmetric free pattern and with 2 diffrent sizes of intervals, I got this...
67593
Petr PaÅ™Ãzek
p.parizek@...
Oct 1, 2006 11:46 am
Okay, but why a period of right 1701.955 cents and not something else? Where did you get that interval? Petr...
67594
Mohajeri Shahin
acousticsoft...
Oct 1, 2006 1:53 pm
Can't choose What ever we want (-: for period of a scale to repeat its intervallic structure? Another one for a non-octavic scale with 7 unsorted hybrid...
67595
Petr PaÅ™Ãzek
p.parizek@...
Oct 1, 2006 3:34 pm
Right. I do understand all of your concepts but it's not clear to me if you got such periods like 1400 or 1701.955 cents by approximating some other intervals...
67596
threesixesinarow
threesixesin...
Oct 1, 2006 4:02 pm
... .. ... You could use a drawing program, like Deltacad http://www.deltacad. com/ trying out different things more repeatably than on paper, and will display...
67597
misterbobro
Oct 1, 2006 5:45 pm
... and ... units, I ... tolerances ... Yes- here at the studio I'm using the computer, especially now that there are clearly half a dozen ways to implement...
67598
Danny Wier
dawier
Oct 1, 2006 10:12 pm
... I took the available ratios in order and used the simplest ones I could without having the same ratio map to more than one pitch. It would be a good idea...
67599
Danny Wier
dawier
Oct 1, 2006 10:39 pm
... I forgot about 72 being viable for 13-limit. But based on my own calculations, I'd say 224-EDO, as high a degree an ET as it is, is probably a best bet....
67600
Gene Ward Smith
genewardsmith
Oct 1, 2006 11:20 pm
... The 13-limit temperaments to 1000 with logflat minimax badness figure under 1 are 26, 29, 46, 58, 111, 130, 224, 270, 311, 494 and 684....
67601
Carl Lumma
clumma
Oct 1, 2006 11:39 pm
... I just meant it might be the same, since if you include all the semiconvergeants for each note in the target scale, the simplest ratios will (all?) be...
67602
Carl Lumma
clumma
Oct 2, 2006 12:31 am
... Here's the difference between JI, 12, 46, and 58: http://lumma.org/tuning/46vs58.zip 46 is clear winner on bang/buck I think, given that 26 and 29 have...
67603
Dan Amateur
xamateur_dan
Oct 2, 2006 12:42 am
Can some one tell me what the conceptual difference actually is between the term 'cents' and 'frequency' ? I understand that cents is a logarithmic measure of ...
67604
Carl Lumma
clumma
Oct 2, 2006 1:18 am
Hi Dan, ... Units of frequency are usually cycles per second (aka Hertz), abbreviated cps or Hz. Cents are units of logarithmic frequency. A cent is equal in...
67605
Ozan Yarman
ozanyarman
Oct 2, 2006 1:48 am
That's right Danny. 17 is a good practical limit for exotic harmony in my opinion. It is the furthest I would choose to go anyway. Still, 79/80 MOS 159-tET can...
67606
Ozan Yarman
ozanyarman
Oct 2, 2006 2:06 am
Although Carl did an excellent job in answering your questions, Dan, let me dare to reply to the last paragraph. There are several units of intervallic...
67607
Carl Lumma
clumma
Oct 2, 2006 5:07 am
... I agree. -C....
67608
kevin ryan
bentivi_cdo
Oct 2, 2006 7:24 am
Someone once told me that many of the altered sounds in jazz harmony are approximations of 7+-limit just intervals, i.e. a #9 over a dominant chord would be ...
67610
Gene Ward Smith
genewardsmith
Oct 2, 2006 7:34 am
... What was the chord?...
67611
Gene Ward Smith
genewardsmith
Oct 2, 2006 7:36 am
... There are two: one is that cents measures relative pitch and frequency absolute pitch, and the other is that cents is logarithmic. If f1 and f2 are two...
67612
Carl Lumma
clumma
Oct 2, 2006 7:45 am
... That depends on your perference. On the piano it is both simultaneously, and I don't know of any rigorous analysis of ensemble performances. Barbershop...
67613
Carl Lumma
clumma
Oct 2, 2006 7:52 am
... I should have said "A B A B A B". You can't in JI have an interval that evenly divides the octave 9 ways. -Carl...
67614
Carl Lumma
clumma
Oct 2, 2006 7:55 am
... 2:3:5:6:7:9:11:13 -C....
67615
Carl Lumma
clumma
Oct 2, 2006 7:58 am
As some have noticed, Yahoo Groups search now works well. This means many questions can be answered by digging in the archives with the search box. A wealth...
67616
Mohajeri Shahin
acousticsoft...
Oct 2, 2006 9:44 am
Hi petr You can choose the period simply by your choice. Shaahin Mohaajeri Tombak Player & Researcher , Microtonal Composer My web site...
67617
misterbobro
Oct 2, 2006 9:53 am
Been using the search function here maniacally, discovered many very interesting things... I just type in keywords or intervals from whatever I'm working on...
67618
Carl Lumma
clumma
Oct 2, 2006 4:19 pm
... You bet! She mostly posts over at http://groups.yahoo.com/group/makemicromusic these days. -Carl...
67619
George D. Secor
gdsecor
Oct 2, 2006 4:47 pm
... you can ... an ET as ... steps (1¼ ... (3 commas) ... within a ... probably do. ... Pythagorean ... Athenian-level (medium-resolution) Sagittal JI is...
