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RE: Fretless versus Fretted

🔗"Paul H. Erlich" <PErlich@...>

3/2/1998 6:40:17 AM
>}>In Just Intonation, what does "limit" refer to?
>
>Gary Morrison wrote,
>
>} The limit is the largest odd or prime number (depending on who you ask)
>}in the frequency ratios in the tuning. Most JI investigators find that
>}each odd or prime outlines a new, broad class of harmony. I personally
>}think that there's a lot of truth in that idea, but that there are many
>}other factors that have to be considered, some with about equal weight.
>
>Actually, the two definitions of limit are: 1. the largest prime number in
>the frequency ratios in the tuning; 2. the largest odd number in ratios that
>are considered consonant in the composition. Harry Partch never defined the
>term limit but used it mostly in the second sense. He did occasionally imply
>the first sense, which has come to dominate current discourse. When dealing
>with temperaments, the first definition has little relevance, while the
>second can have great relevance in the context of the ratios that the
>temperament needs to approximate well.