Tone: Difference between revisions

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The '''Tone''' as an interval measure was already known in Ancient Greece. [http://en.wikipedia.org/wiki/Aristoxenus Aristoxenus (fl. 335 BC)] defined the tone as the difference between the [[3/2|just fifth (3/2)]] and the [[4/3|just fourth (4/3)]]. From this base size, he derived the size of other intervals as multiples or fractions of the tone, so for instance the just fourth was 2<span style="font-size: 70%; vertical-align: super;">1</span>/<span style="font-size: 70%; vertical-align: sub;">2</span> tones in size.
The '''Tone''' as an interval measure was already known in Ancient Greece. [http://en.wikipedia.org/wiki/Aristoxenus Aristoxenus (fl. 335 BC)] defined the tone as the difference between the [[3/2|just fifth (3/2)]] and the [[4/3|just fourth (4/3)]]. From this base size, he derived the size of other intervals as multiples or fractions of the tone, so for instance the just fourth was 2<span style="font-size: 70%; vertical-align: super;">1</span>/<span style="font-size: 70%; vertical-align: sub;">2</span> tones in size.


From a technical perspective, the tone as an interval with frequency ratio [[9/8|9/8]] and a size of ca. 204 [[cent|cents]] is exactly the same as the major diatonic second.
From a technical perspective, the tone as an interval with frequency ratio [[9/8]] and a size of ca. 204 [[cent]]s is exactly the same as the major diatonic second.


see also [http://www.tonalsoft.com/monzo/aristoxenus/aristoxenus.aspx The measurement of Aristoxenus's Divisions of the Tetrachord]     [[Category:base_unit]]
:''See also [http://www.tonalsoft.com/monzo/aristoxenus/aristoxenus.aspx The measurement of Aristoxenus's Divisions of the Tetrachord]''
[[Category:greek]]
 
[[Category:interval_measure]]
[[Category:Base unit]]
[[Category:Greek]]
[[Category:Interval measure]]

Revision as of 08:41, 25 October 2018

The Tone as an interval measure was already known in Ancient Greece. Aristoxenus (fl. 335 BC) defined the tone as the difference between the just fifth (3/2) and the just fourth (4/3). From this base size, he derived the size of other intervals as multiples or fractions of the tone, so for instance the just fourth was 21/2 tones in size.

From a technical perspective, the tone as an interval with frequency ratio 9/8 and a size of ca. 204 cents is exactly the same as the major diatonic second.

See also The measurement of Aristoxenus's Divisions of the Tetrachord