Geometrical figure

Usage examples of heptagon.

The Harmonic Heptagon provides a compact visualisation of all the consonant relationships between notes in the diatonic scale, and a trip once around the Heptagon corresponds to one syntonic comma.

Harmonic Heptagon, we travel a distance in 3D space corresponding to the syntonic comma.

The Harmonic Heptagon contains only the white notes, but it shows connections for all consonant intervals between those notes.

Harmonic Heptagon as it travels from the initial home note and chord to the final home note and chord.

To make the theory work there has to be some method of determining where each chord would be placed on the Harmonic Heptagon relative to previous chords that have already occurred in the tune.

Harmonic Heptagon does turn out to be important for developing certain aspects of the super-stimulus theory, in particular the theory of home notes and home chords.

The Harmonic Heptagon has a reflective symmetry, and A minor and C major are mirror images of each other under this symmetry.

The interval between B and F is not a consonant interval, whereas all other intervals between notes two steps apart on the heptagon are a perfect fifth.

Harmonic Heptagon, we might have a scale that was approximately even, with all notes separated by the same interval.

Harmonic Heptagon, then there is an obvious relationship between the sets of notes that are most strongly connected to other notes by consonant relationships, and the sets of notes that form the preferred home chords.

As the howling wail came to a climax in a blast of sound Kromodeor threw over a lever, as did every other projector officer in every other heptagon, and there was made plain to any observer the reason for the burns and scars in the tortured space between the lofty inner and outer walls of Vorkulia.

Every loose article in every heptagon had long since been stored in its individual shock-proof compartment, and now every Vorkul coiled his entire body in fierce clasp about mighty horizontal bars: for the entire kinetic energy of the untold millions of tons of mass comprising the cone, at the terrific measure of its highest possible velocity, was to be hurled upon those unbreakable linkages of force which bound the trussed aggregation of Vorkulian fortresses to the deeply-buried intrenchments of the hexans.

Finally, when the pictured edges were about to cease moving across the finely-ruled lines, Brandon cut down his own acceleration a trifle, and kept on decreasing it at such a rate that the heptagon still crept up, foot by foot.

Brandon remarked, and directed against the heptagon a heavy destructive beam.

There were so many chambers and compartments in the heptagon that it had of course been impossible to puncture them all, and in some of the tight rooms were groups of hexans, anxious to do battle.