"लघुगणक": अवतरणों में अंतर
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पंक्ति 129:
* In [[geometry]] the logarithm is used to form the [[metric space|metric]] for the [[hyperbolic motion#Elementary half-plane geometry|half-plane model]] of [[hyperbolic geometry]].
* Many types of engineering and scientific data are typically graphed on [[log-log]] or [[semilog]] axes, in order to most clearly show the form of the data.
* [[Interval (music)|Musical intervals]] are measured logarithmically as [[semitone]]s. The interval between two notes in semitones is the base-2<sup>1/12</sup> logarithm of the frequency ratio (or equivalently, 12 times the base-2 logarithm). Fractional semitones are used for non-equal temperaments. Especially to measure deviations from the equal tempered scale, intervals are also expressed in [[cent (music)|cents]] (hundredths of an equally-tempered [[semitone]]). The interval between two notes in cents is the base-2<sup>1/1200</sup> logarithm of the frequency ratio (or 1200 times the base-2 logarithm). In [[MIDI]], notes are numbered on the semitone scale (logarithmic absolute nominal pitch with middle C at 60). For microtuning to other tuning systems, a logarithmic scale is defined filling in the ranges between the semitones of the equal tempered scale in a compatible way. This scale corresponds to the note numbers for whole semitones. (see [http://www.midi.org/about-midi/tuning.shtml microtuning in MIDI]).
== सन्दर्भ ==
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