source file: m1401.txt Date: Thu, 30 Apr 1998 15:36:15 -0400 Subject: missing word and tying threads From: Daniel Wolf Paul Erlich is absolutely right, I should have included the word 'thinner= ' in describing music wire on Early keyboards and on 'The Well Tuned Piano'= =2E There are indeed two ways to increase the harmonicity of a piano wire: increase the tension, or use thinner wires. Actually, since TWTP is played on a Bo"sendorfer, I would guess that the wires are lighter anyways due to the lighter frame construction. But I defer on this to the piano technicians out there. = I would be curious to learn what Michael Harrison - who also happens to b= e a good piano technician - has found in his work with Young and on his own= music. My main point, however, remains: inharmonicity is not a factor in the historic standardization of an approximate 12ET on the piano. (It is rath= er a factor in describing the nature of the historical approximation.) = I believe this is, however obliquely, also related to the parallel thread= on synthesizer resolution and JI. The degree of accuracy to which a Just Intonation can potentially be approximated is exactly the same to which a= ny given temperament can be approximated. The difference between the two has= this quality: knowing that a Just Intonation is intended, the listener's judgement of the accuracy of the realization will _generally_ be sharper than in the case of an intended temperament. (I include the qualifier _generally_ here to include such exceptions as the experimental timbres used by Sethares). Daniel Wolf = =