The construction of 'tone lakes'
By Jørgen Mortensen
'Tone lakes' are combinations of the tripartite infinity rows in which the basic unit is the fifth interval. There are four layers in each 'tone lake', four independent rows. The smallest 'tone lake' consists of 12 notes, the next of thrice as many (36), the next of thrice as many again....
The simplest 'tone lake' with only 12 notes is composed of 4 separate rows each containing 3 notes.
These 4 separate rows are:
The row from G with the first interval downwards (G\)
|To illustrate the background for the
choice of starting notes it should be pointed out that the G/- and A\- rows together
provide six notes which are found in the following cluster of fifths, in which the middle
note, D, is left out:
F C G (D) A E B
|The 36 notes look like this:|
|For a more detailed description see Jørgen Mortensen: Per Nørgårds Tonesøer (Per Nørgård's Tone Lakes), VM 1992.|