Though Mr. Russell does not understand the concepts of musical octaves, and Mr. Blier's appreciation for architecture tends toward bathroom accouterments, the men discovered that their passions overlapped more than they might have guessed.
The product's design hinges on the technology of the equally cheekily-named 'InGRID' (after his wife and co-designer), which is a fingerboard that allows the player to strike a broad range of musical octaves while barely stretching his or her fingers.
Used by Oudre [79, 80], it consists of a frequency domain spectrum in which there are only 12 coefficients, each corresponding to a specific musical note (octaves are ignored).
In nearly all musical cultures the octave is subdivided into a number of steps, each a simple fraction of an octave.
There are, however, serious questions about the methodology used (Gregory 2012) and it is a serious problem both that no one in the ancient world reports that Plato used such a practice and that the middle of the dialogue, which corresponds to the most concordant musical interval, the octave (2 1), does not usually contain the most philosophically important content.
A famous discovery is attributed to Pythagoras in the later tradition, i.e., that the central musical concords (the octave, fifth and fourth) correspond to the whole number ratios 2 : 1, 3 : 2 and 4 : 3 respectively (e.g., Nicomachus, Handbook 6 = Iamblichus, On the Pythagorean Life 115).
The base configuration combines a single- or dual-core 2-GHz AMD Athlon 64-bit processor, 80GB hard drive (pre-loaded with Windows XP), 512MB of RAM, three-octave musical keyboard, QWERTY keyboard, dual-layer DVD burner, 4-in/6-out soundcard, MIDI controllers, tons of I/O options, a full set of DJ controls, and a 15-inch touchscreen LCD.
The correspondence between the central musical concords of the octave, fifth, and fourth and the whole number ratios 2 : 1, 3 : 2 and 4 : 3 is reflected in the acusmata (Iamblichus, VP 82) and was thus probably already known by Pythagoras.
It is certainly true that the discovery that the primary musical concords of the octave, fourth and fifth are governed by the simple whole number ratios 2 : 1, 4 : 3 and 3 : 2 occurred before Philolaus.
