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--- undertone_series [2023/01/05 13:53] – [Methods to play an undertone series] mete
+++ undertone_series [2023/01/05 13:56] (current) – [Methods to play an undertone series] mete
@@ Line 26: / Line 26: @@
 ===Notes===
-All of these techniques are only producible on large instruments. The highest starting pitch that is capable of generating this series is on the Terpodion, which is under high resistance with fast spinning, representing a degree of force difficult to make on most instruments that are directly played by a player. The undertone sequence has great potential to allow for instruments to play far lower pitches than are commonly available for a given length of instrument. I wonder if there is a relationship to stopped pipes and the undertone series (a cylinder like a clarinet is 1 octave lower than a conical instrument of the same length) and this may represent the first harmonic of the series. It is also ambiguous how the octave above a fundamental relates to the octave below it and now those relate to both the undertone and overtone series (when moving from the undertone series is is there a total of 3 octaves played in a row when shifting into the overtone series... or perhaps its 2, with the fundamental of each series being the first harmonic of the other).
+All of these techniques are only producible on large instruments. The highest starting pitch that is capable of generating this series is on the Terpodion, which is under high resistance with fast spinning, representing a degree of force difficult to make on most instruments that are directly played by a player. The undertone sequence has great potential to allow for instruments to play far lower pitches than are commonly available for a given length of instrument. I wonder if there is a relationship to stopped pipes and the undertone series (a cylinder like a clarinet is 1 octave lower than a conical instrument of the same length) and this may represent the first harmonic of the series. It is also ambiguous how the octave above a fundamental relates to the octave below it and now those relate to both the undertone and overtone series (when moving from the undertone series to the harmonic series is is there a total of 4 octaves or 3 octaves in a row when shifting from one series to another... or perhaps its 2, with the fundamental of each series being the first harmonic of the other). \\
+\\
+[[Harry Partch]] described it as 4 octaves in total in his theory of Otonality and Utonality \\
+{{https://upload.wikimedia.org/wikipedia/commons/7/7a/Otonality_and_utonality_5-limit.png}}