The greater tone, lesser tone, and diatonic semitone of modern music. 2 Ptolemy set forth this system as one of eight possible forms of the diatonic scale.
§ 388) thought that if the intensity of response by a given resonator in the ear to its own tone is taken as i, then its response to an equally loud tone a semitone different may be taken as about.
The Halberstadt pitch is nearly a semitone higher, which again agrees with the statement of Praetorius, and also Schlick's high C organ.
This is about a semitone below the Diapason Normal, and a just minor third lower than the St Jacobi organ in the same city (1688), measured by Herr Schmahl, a' 489.2.
A semitone, give two beats per second, while the same number of beats are given by notes of 32 X 16 (four octaves higher than the first of the preceding) or 512, and 514 vibrations, which are only slightly out of tune.
The interval corresponding to the octave being divided into seven equal parts, each about 14 semitone, it follows that Siamese music sounds strange in Western ears.
The Hampton Court organ of 1690 shows that Schmidt had further lowered his pitch a semitone, to a' 441 7.