Ramsay
"and goes within this range, with its wondrous infoldings which so charm the ear, and which symbolise so many spiritual mysteries. These twelve major keys with their twelve minors are the musical world, and motion in the operation of 3 is not much hampered by rest controlling it in the operation of 2; and what is lost of so-called "perfect intonation" is far more than made up for in the beautiful system within system, which musical science, when fairly and fully brought into view, presents for our contemplation, and the intellect feasts along with the ear." [Scientific Basis and Build of Music, page 40]

with her irrevocable proportions to measure his scales for him. The stars at the C of the first scale and at the B# of the last show the coincidence of 12 fifths and 7 octaves. The number of B# is 3113 467/512; C24 multiplied 7 times by 2 brings us to the number 3072; these two notes in the tempered system are made one, and the unbroken horizon of the musical world of twelve twofold keys is created. The very small difference between these two pitches is so distributed in the 12 tempered scales that no single key of the 12 has much to bear in the loss of perfect intonation. [Scientific Basis and Build of Music, page 118]