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...
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...
Petr PaÅ™Ãzek
p.parizek@...
Oct 1, 2006 8:05 am
67591
... 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...
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...
Okay, but why a period of right 1701.955 cents and not something else? Where did you get that interval? Petr...
Petr PaÅ™Ãzek
p.parizek@...
Oct 1, 2006 11:46 am
67594
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...
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...
Petr PaÅ™Ãzek
p.parizek@...
Oct 1, 2006 3:34 pm
67596
... .. ... You could use a drawing program, like Deltacad http://www.deltacad. com/ trying out different things more repeatably than on paper, and will display...
... 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...
... 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...
... 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....
... 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...
... 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...
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 ...
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...
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...
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...
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 ...
... 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...
... 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...
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...
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...
... you can ... an ET as ... steps (1¼ ... (3 commas) ... within a ... probably do. ... Pythagorean ... Athenian-level (medium-resolution) Sagittal JI is...