# Figure 6.8 - Resulting in a Cube mutually assimilating to a Common Center

Figure 6.8 - Resulting in a Cube mutually assimilating to a Common Center from Six Directions (along Three Axis) as also see Square Law
(courtesy of University of Science and Philosophy)
(click to enlarge)

The Octave being divided into 53 commas, the intervals are measured, as usual, by these, the large second having 9-commas, the medium second having 8, and the small second 5. These measures are then made each the radius by which to draw hemispheres showing the various and comparative areas of the seconds. The comparative areas of the thirds are shown by the hemispheres of the seconds which compose them facing each other in pairs. The comma-measures of the various thirds thus determined are then made the radii by which to draw the two hemispheres of the fifths. The areas of the three fifths are identical, as also the attitudes of their unequal hemispheres. The attitude of the six thirds, on the other hand, in their two kinds, being reversed in the upper and under halves of the scale, their attitude gives them the appearance of being attracted towards the center of the tonic; while the attitude of the three fifths is all upward in the major, and all downward in the minor; their attraction being towards the common centerof the twelve scales which Nature has placed between the second of the major and the fourth of the minor, as seen in the two D's of the dual genetic scale, - the two modes being thus seen, as it were, revolving [Scientific Basis and Build of Music, page 113]

round a common center which is lying between them, as the double stars do in the astral heavens. When this plate is reversed we have before us exactly the minor scale, and all the parts and attitudes related in exactly the inverse way, each to each, so perfect is the duality in unity of the two modes. [Scientific Basis and Build of Music, page 114]