(木魚) marks the beginning of moments 3, 9, 15, 21, and 27. The principal forming element of
Telemusik is duration. The work consists of thirty-two structures, called "
moments" by the composer. Each begins with the stroke of a Japanese temple instrument. These six instruments are each associated with a moment duration according to their natural decay time: the
taku (a high-pitched sandalwood clapper with almost instantaneous decay) with the shortest duration, the
bokushō (a larger clapper with longer decay time) with the next longer duration, then a hollow-sounding
mokugyo ("wooden fish"), higher and lower-pitched cup gongs called
rin and
keisu, ending with a group of four large temple bells for the longest of the six durations used. The durations in seconds of these moments are taken from the six
Fibonacci numbers between 13 and 144. The numbers of occurrences of these steps are also drawn from Fibonacci numbers, from 1 to 13. The longer the step, the fewer times it occurs, and vice versa: However, the actual duration values used in the score are systematically varied above these base values so that from longest to shortest there are 1, 2, 3, 4, 3, and 2 variants (144, 89/91, 55/56/57, 34/35/36/37, 21/22/23, and 13/14). In order to achieve the specified numbers of moments, the variants of the shorter values are duplicated, again according to the Fibonacci series (13 × 5, 14 × 8; 21 × 3, 22 × 3, 23 × 2; 34 × 2, and the rest with single instances). Each of the 32 moments is then subdivided into from two to thirteen subsections, again using Fibonacci numbers, in most cases with some values repeated. For example, one of the composer's sketches (reproduced in ) shows that moment 22, with a total duration of 91 seconds, has subdivisions of 34 + 21 + 13 + 8 + 5 + 3 + 2 + 1 + 2 + 1 + 1, though not used in that order in the composition itself. The moments' durations are distributed over the length of the composition as follows: The "extra" moment marked "7 Fortsetzung" (7 continued) is an insertion which repeats the long composite of descending glissandos from the two preceding moments, ring modulated with a 12 kHz sine wave, briefly "notched" with a dip to 2,000 Hz at the point corresponding to the division between moments 6 and 7. This insert is marked at the beginning by a stroke on a Japanese temple instrument found nowhere else in
Telemusik: a gong called a
kane (鐘). Of the six resulting structural layers, or "formant rhythms" four—the second, third, fourth, and fifth—are internally symmetrical. However, their centres of symmetry, marked in the table by the symbol "↕", do not coincide, so that the composite structure is not itself symmetrical. The
keisu layer is centred on the overall form, while the
rin,
mokugyo, and
bokusho layers are
phase-shifted by incrementally increasing distances to the left, right, and left again. (Kyoto), one of the four bells heard in moment 31 Moments are often more or less casually grouped together into successions of two or more moments, similar to the
Hauptgruppen Stockhausen conceived as early as
Klavierstück I in 1952. Opinions on these groupings differ somewhat.
Robin Maconie describes moments 15, 16 and 17 as a "structural episode" consisting of a sustained "resonance of consciousness", superimposing and transforming material taken from moments 1, 4, 5, 6, 7, 9, and 14. Others variously regard as groupings: • moments 1–3 • moments 5–7 cont'd, 10–11, 17–23, and 27–31 • moments 12–14 and 24–26 • moments 16–21, 22–23, and 27–30 ==Discography==