The Mudcat Café TM
Thread #144039   Message #3328389
Posted By: Jack Campin
24-Mar-12 - 08:23 PM
Thread Name: More stuff about the circle of 5ths
Subject: RE: More stuff about the circle of 5ths
The ladder is more appropriate because traditional music doesn't modulate far, never goes round the circle, rarely uses the extreme keys and never presupposes equal temperament, which has to be assumed for the circle to close.

The ladder design is tailor-made for making slide rules. Something a bit like it is described in Athanasius Kircher's Musurgia Universalis of 1655 - a set of calculational "bones" designed for harmonizing tunes.