coming from a "techno" background, i was always fascinated by logarithmic scales and their possibility of free transponation of melodies. yet, i was also always interested in linear tuning system.
what do i mean with logarithmic and linear? 12 TET is a logarithmic tuning. all intervals are the same between notes according to their steps; C - C# is the same as F - F#. in other words, the intervals are not based on a "fundemental" note, such as C, but each interval makes sense from any note of the tonal scare. the opposite is the 12 tone linear tuning that i mentioned before; where each interval is based on a basic note, the first note. the second note then is 12-13, the second 12-14, and so on. so, unlike in TET scales, an interval between the third and the fourth note is different than for example the first and second. all tones are directly linked to a fundemental note, ratio.
now, the pythagorean tuning seems to be quite popular these days. yet, if i understand it right, it's not a linear, but a logarithmic tuning again. the interval C-G is, in it, based on the harmony 2:3, which is linear. yet C-D is not based on an interval relating directly to "C", but going a step 2:3 further from G. which means the D directs to the G, not the C. so the "C" is not a fundemental note on which everything is based.
now, each system seems to have its merits. yet i have a feeling that there is something extraordinary about linear tunings / based on a fundemental note. actually, with my first attempts i was not happy at all with the results in trying out this tuning. but now i am finally gaining ground, and the result, in the moment, is more satisfying than linear tunings to me.
