source file: mills2.txt Date: Sat, 31 Aug 1996 10:18:43 -0700 Subject: 3rd comma meantone and the 19/oct trumpet From: Kami Rousseau I originaly suggested this fingering, to be used with the 2nd and 3rd harmonics (as well as their multiples). > cents cents >Valve # 12/oct 19/oct >1 200 126,32 >2 100 63,15 >3 300 189,47 >4 500 252,63 >Using this set of slides, the fingering would be similar to a regular >trumpet. John Chalmers confirmed that: > A fourth valve is necessary, but apparently the the modifications are > not too complex. Piccolo trumpets usually have 4 valves, to enable them to play the low G and the notes below. What I would like to find is a soprano instrument with 4 valves (cornet, trumpet, or fluegelhorn.) Gary Morrison showed that we were not restricted to cutting the tubes: > I would think that it would be fairly easy to cut the tubes that valve tubes, >and easy to lengthen them (since you have a slide anyway). The only "real" difficulty was: >... in trying to make an even shorter 2nd valve crook than a piccolo trumpet already >has. As you know the 2nd valve crook is already barely a >half circle. Maybe it would be possible to shorten the valve casings and >try to get an alternative set of slides. Gary proposed an interesting solution: >2. Increasing the tuning differences of alternate fingerings (e.g., making > first and second play 4/19 down and third play 5/19). and not necessarily > increasing the number of valves. 19TET is like 3rd comma meantone, it has a just major sixth. The trumpet is an instrument that plays notes from the harmonic serie. This interval is found between harmonic 3 and 5. Would it be practical to use the 3rd or 5th harmonic as the tonic? It would automaticaly give us the pure 5/3 or 6/5. -Kami Received: from ns.ezh.nl [137.174.112.59] by vbv40.ezh.nl with SMTP-OpenVMS via TCP/IP; Sat, 31 Aug 1996 19:34 +0200 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA10825; Sat, 31 Aug 1996 19:36:04 +0200 Received: from eartha.mills.edu by ns (smtpxd); id XA10727 Received: from by eartha.mills.edu via SMTP (940816.SGI.8.6.9/930416.SGI) for id KAA29915; Sat, 31 Aug 1996 10:36:02 -0700 Date: Sat, 31 Aug 1996 10:36:02 -0700 Message-Id: Errors-To: madole@ella.mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu