All this information on tuning is very very interesting, and I think that I will just go ahead with a 22tet refretting. I hope it works for experimental music along with ancient greek tetrachord species.
>>All of us have no doubt noticed that the strangeness/poignancy/difficulty of >>intervals increases as higher primes are introduced into ratios, up to and >>including 13. > >I would replace "prime" with "odd." > >>After that, 17 and 19 are fairly tame/consonant sounding and >>relatively easy to work into the rational scale fabric, > >I'd chalk that up to diatonic brainwashing.
SMTPOriginator: tuning@eartha.mills.edu From: "Paul H. Erlich" Subject: RE: Well thankyou PostedDate: 29-09-97 21:31:55 SendTo: CN=coul1358/OU=AT/O=EZH ReplyTo: tuning@eartha.mills.edu $MessageStorage: 0 $UpdatedBy: CN=notesrv2/OU=Server/O=EZH,CN=coul1358/OU=AT/O=EZH,CN=Manuel op de Coul/OU=AT/O=EZH RouteServers: CN=notesrv2/OU=Server/O=EZH,CN=notesrv1/OU=Server/O=EZH RouteTimes: 29-09-97 21:31:34-29-09-97 21:31:35,29-09-97 21:30:33-29-09-97 21:30:33 DeliveredDate: 29-09-97 21:30:33 Categories: $Revisions:
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>All of us have no doubt noticed that the strangeness/poignancy/difficulty of >intervals increases as higher primes are introduced into ratios, up to and >including 13. After that, 17 and 19 are fairly tame/consonant sounding and >relatively easy to work into the rational scale fabric, then with 23 it >starts getting pretty bizarre-sounding again.
Another explanation for this is that 17 and 19 also provide some close approximations to 12TET intervals. So they might sound comparatively ordinary in part merely because we're used to them. That and because they're pretty close to 3- and 5-based intervals, so 3 and 5 "win".
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