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| The '''Microtone''' is an [[interval measure]] that can be considered as sufficiently precise for all thinkable musical and music-science purposes. Besides its high accuracy, it is of high neutrality since it favors neither twelve-tonality nor even the [[octave]]. Nevertheless its relevance for practical application in music is low due to the incompatibility with "[[human scale]]". Humans are not good at big numbers and have only limited pitch perception (the [[Just-noticeable difference]] (JND) is around 6 cents).
| | {{Wikipedia| Microtonal music #Microtone }} |
| | {{About|1=microtonal intervals|2=the interval size measure|3=Microtone (interval size measure)}} |
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| One actual microtone ('''1µt''') would be defined as one millionth of the [[tone]]:
| | A '''microtone''' is any [[interval]] between two musical sounds that cannot be represented by a whole number of semitones. |
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| {| class="wikitable right-3"
| | [[Microtonal music]], in a broad sense, is any music composed and performed with any musical intervals outside of the set of those generally accepted in western music traditions. A microtonal interval, in generally speech, refers to such an interval, which cannot be broken down into standard western theoretical semitones. In more specific contexts, the meaning of this term might evaporate into that which is vaguely supported by other more specific or technical terms. Some music theorists with experience in xenharmonic music might tend to think of microtones as intervals smaller than semitones and therefore use a juxtaposed term, such as "macrotone" to describe an interval larger than a semitone but also not a whole number of semitones. Other music theorists within this field of study may avoid this distinction or avoid using the term to describe the field itself or the music or ideas used to compose the music therein. |
| |+ Some numerical impressions (laughter permitted)
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| ! Name
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| ! Size
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| ! Size ([[cents|¢]], 12 decimals)
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| ! Size (in [[cents|cents (¢)]], scientific notation)<ref>The values were produced by [https://keisan.casio.com/calculator High precision calculator].</ref>
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| |-
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| | Tone (=[[9/8]])
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| | 204¢
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| | <tt>203.910,001,730,775</tt>
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| | <tt>2.03910001730774835488973465474759621023555E+2</tt>
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| |-
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| | Millitone
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| | 204m¢
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| | <tt>0.203,910,001,731</tt>
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| | <tt>2.03910001730774835488973465474759621023555E-1</tt>
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| |-
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| | Microtone
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| | 204µ¢
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| | <tt>0.000,203,910,002</tt>
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| | <tt>2.03910001730774835488973465474759621023555E-4</tt>
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| |}
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| <references/>
| | [[Category:Terms]] |
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| == The Microtone Challenge ==
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| A microtone is indeed a very small interval: 4,904 microtones make one [[cent]], and 5,884,949 an octave.
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| Two sounds different only by 1µt produce a very slow [[beat]]; depending on the frequency one have to wait more or less to recognize it. The beat frequency is
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| * at the upper limit of the hearing range (20 kHz) 7 minutes
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| * in the range of the highest acoustic sensibility (4 kHz) 35 minutes
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| * at the lower limit of the hearing range (16 Hz) 7 days
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| Given this, will it be ever possible to make a ''microtone experience'' at all?
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| == See also ==
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| * [[Unnoticeable comma]]
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| == External links ==
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| * [http://musictheory.zentral.zone/huntsystem2.html#2 H-Pi Instruments | Hunt System Scale] - section "The JND"
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| * [https://en.wikipedia.org/wiki/Pitch_(music)#Just-noticeable_difference Pitch (music) - Wikipedia] - section "Just-noticeable difference"
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| [[Category:Interval measure]] | |