(Originally posted in March, 2010) By now we hopefully understand that the Pythagorean temperament is really a stack of pure perfect 5ths (Pythagorean 5ths) and can bring out melodic beauty, and the temperament based on the narrow 5ths, each tampered by a quarter of a syntonic comma (mean-tone 5ths), can bring out chordal beauty. Then […]
Appreciating 1/6-comma — Temperament Part III Read More »
(Originally posted in March, 2010) In the previous blog entry, I mentioned that you can characterize those temperament systems as either harmonic systems or melodic systems. The Pythagorean tuning is suited for monophonic lines because of the sharper mediants and leading tones, and thus it is a typical example of a melodic system. Not great
Hating and loving 1/6-comma — Temperament Part II Read More »
(Originally posted in March, 2010) If you just thought this title didn’t make sense, no, it does not make sense, at least to you and me. Perhaps some of you can help me understand this stuff better — I don’t have a mathematical mind and I can only go so far as to understand the
1/6-Pythagorean-comma mean-tone?? — Temperament Part I Read More »
English 
日本語