piano – Untempered Music

A Harmonic Journey: ET and JI Compared

ByGary March 14, 2014August 16, 2017

The Harmonic Lattice can be viewed as a map of harmonic space. Music moves in harmonic space, just as it moves in melodic space (the world of scales and keyboards). The two spaces are very different from each other. In melodic space, such as a piano keyboard, when two notes are close together, it means…

Just Intonation

The Major Scale in Cents

ByGary February 5, 2013August 18, 2017

The simplest untempered tuning of the major scale is: 1 — 0 cents 2 — 204 3 — 386 4 — 498 5 — 702 6 — 884 7 — 1088 Here’s how that tuning compares with the equal tempered scale: The black numbers show the pitches of 12-tone equal temperament. They are equally…