Microtone: Difference between revisions
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reworked: simplified list and links. Made cent size data visible by a small table: It seems that 6 decimal places (as shown in Gallery of just intervals) are sufficiently accurate :) |
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The '''Microtone''' is an [[ | {{interwiki | ||
| de = Mikroton | |||
| en = Microtone | |||
| es = | |||
| ja = | |||
}} | |||
The '''Microtone''' is an [[interval measure]] that is sufficiently precise for all thinkable musical and music-science purposes. Besides its high accuracy, it is of a high neutrality since it favors neither twelve-tonality nor even the [[octave]]. | |||
One microtone ('''1µt''') | One actual microtone ('''1µt''') would be defined as one millionth of the [[tone]]: | ||
{| class="wikitable" | |||
|+ Intervals in comparison | |||
! Name | |||
! Size in [[cent]] | |||
|- | |||
| Ton (=[[9/8]]) | |||
| {{#expr: ln(9/8) / ln(2) *1200 }} | |||
|- | |||
| Millitone | |||
| {{#expr: ln(9/8) / ln(2) *1200 /1000 }} | |||
|- | |||
| Mikcotone | |||
| {{#expr: ln(9/8) / ln(2) *1200 /1000 /1000 }} | |||
|} | |||
== The Microtone Challenge == | == The Microtone Challenge == | ||
A microtone is indeed a very small interval: 4904 microtones make one [[ | A microtone is indeed a very small interval: 4904 microtones make one [[cent]], and 5884949 an octave. | ||
Two sounds different only by 1µt produce a very slow beat; depending on the frequency one have to wait more or less to recocnize it. The beat frequency is | Two sounds different only by 1µt produce a very slow beat; depending on the frequency one have to wait more or less to recocnize it. The beat frequency is | ||
* at the upper limit of the hearing range (20 kHz) 7 minutes | |||
* in the range of the highest acoustic sensibility (4 kHz) 35 minutes | |||
* at the lower limit of the hearing range (16 Hz) 7 days | |||
Given this, will it be ever possible to make a ''microtone experience'' at all? | Given this, will it be ever possible to make a ''microtone experience'' at all? | ||
[[Category:Interval measure]] | |||
Revision as of 07:45, 25 October 2018
The Microtone is an interval measure that is sufficiently precise for all thinkable musical and music-science purposes. Besides its high accuracy, it is of a high neutrality since it favors neither twelve-tonality nor even the octave.
One actual microtone (1µt) would be defined as one millionth of the tone:
| Name | Size in cent |
|---|---|
| Ton (=9/8) | 203.91000173077 |
| Millitone | 0.20391000173077 |
| Mikcotone | 0.00020391000173077 |
The Microtone Challenge
A microtone is indeed a very small interval: 4904 microtones make one cent, and 5884949 an octave.
Two sounds different only by 1µt produce a very slow beat; depending on the frequency one have to wait more or less to recocnize it. The beat frequency is
- at the upper limit of the hearing range (20 kHz) 7 minutes
- in the range of the highest acoustic sensibility (4 kHz) 35 minutes
- at the lower limit of the hearing range (16 Hz) 7 days
Given this, will it be ever possible to make a microtone experience at all?