Eigeninterval

Перевод слова "eigeninterval" на Русский язык

eigeninterval

Существительное

/ˈaɪɡənˌɪntəvəl/

/ˈaɪɡənˌɪntərvəl/

eigeninterval

eigenintervals множ.

собственный интервал

The eigeninterval is a crucial concept in this mathematical theory.

Собственный интервал является ключевым понятием в этой математической теории.

Опеределения

eigeninterval

Существительное

/ˈaɪɡənˌɪntəvəl/

/ˈaɪɡənˌɪntərvəl/

An interval that is mapped onto itself (is invariant) when a specified transformation or operation is applied, especially in mathematical analysis and musical tuning theory.

For the piecewise-linear map under study, the segment [0, 1/2] functions as an eigeninterval because every point in it is sent back into the same segment.

In microtonal music theory, an interval that remains unchanged when a recurrent transposition or tempering process is performed across a scale.

By identifying eigenintervals within the scale, the composer ensured that certain consonances were preserved after each tempered modulation.

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