Minor third: Difference between revisions
Page merge followup |
m - abuse of bold |
||
| Line 14: | Line 14: | ||
| Higher region = [[Neutral third]] | | Higher region = [[Neutral third]] | ||
}} | }} | ||
As a concrete [[interval region]], the minor third is typically near 300{{c}} in size, distinct from the [[major third]] of roughly 400{{c}} and the [[neutral third]] of roughly 350{{c}}. A rough tuning range for the minor third is about 260 to 330{{c}} according to [[Margo Schulter]]'s theory of interval regions. ''Minor third'' in this sense refers both to the ~240–340{{c}} range as a whole, and to a specific subdivision within it (~285–340{{c}}) as opposed to subminor thirds; minor thirds flat of this are often called | As a concrete [[interval region]], the minor third is typically near 300{{c}} in size, distinct from the [[major third]] of roughly 400{{c}} and the [[neutral third]] of roughly 350{{c}}. A rough tuning range for the minor third is about 260 to 330{{c}} according to [[Margo Schulter]]'s theory of interval regions. ''Minor third'' in this sense refers both to the ~240–340{{c}} range as a whole, and to a specific subdivision within it (~285–340{{c}}) as opposed to subminor thirds; minor thirds flat of this are often called subminor thirds. | ||
This section covers intervals between 240 and 340{{c}}. The outer range of this might be too extreme to call | This section covers intervals between 240 and 340{{c}}. The outer range of this might be too extreme to call minor thirds, but this is done so that one can find what they're looking for easily. | ||
=== In mos scales === | === In mos scales === | ||
Intervals between 267 and 343{{c}} generate the following [[mos]] scales | Intervals between 267 and 343{{c}} generate the following [[mos]] scales. These tables start from the last monolarge mos generated by the interval range. Scales with more than 12 notes are not included. | ||
These tables start from the last monolarge mos generated by the interval range. | |||
Scales with more than 12 notes are not included. | |||
{| class="wikitable" | {| class="wikitable" | ||
| Line 57: | Line 53: | ||
| Header 5 = Basic tuning | Data 5 = 300{{c}} | | Header 5 = Basic tuning | Data 5 = 300{{c}} | ||
| Header 6 = Function on root | Data 6 = Mediant | | Header 6 = Function on root | Data 6 = Mediant | ||
| Header 7 = Interval regions | Data 7 = [[Semifourth]], | | Header 7 = Interval regions | Data 7 = [[Semifourth]], minor third, [[neutral third]] | ||
| Header 8 = Associated just intervals | Data 8 = [[6/5]], [[32/27]] | | Header 8 = Associated just intervals | Data 8 = [[6/5]], [[32/27]] | ||
| Header 9 = Octave complement | Data 9 = [[Major sixth]] | | Header 9 = Octave complement | Data 9 = [[Major sixth]] | ||
| Line 67: | Line 63: | ||
The [[major third]] can be stacked with a minor third to form a perfect fifth, and as such is often involved in chord structures in diatonic harmony. | The [[major third]] can be stacked with a minor third to form a perfect fifth, and as such is often involved in chord structures in diatonic harmony. | ||
In [[TAMNAMS]], this interval is called the | In [[TAMNAMS]], this interval is called the ''minor 2-diastep''. | ||
The augmented second is enharmonic with the minor third, ranging from 171 to 480{{c}} (1\7 to 2\5). It is generated by stacking 9 fifths octave reduced, and is as such not found in the diatonic scale. Regardless, in TAMNAMS, it may be called the | The augmented second is enharmonic with the minor third, ranging from 171 to 480{{c}} (1\7 to 2\5). It is generated by stacking 9 fifths octave reduced, and is as such not found in the diatonic scale. Regardless, in TAMNAMS, it may be called the ''augmented 1-diastep''. | ||
In | In just intonation, an interval may be classified as an augmented second if it is reasonably mapped to ''one'' step of the diatonic scale and three steps of the chromatic scale, or formally 1\7 and [[24edo|6\24]]. | ||
=== Scale info === | === Scale info === | ||
| Line 81: | Line 77: | ||
Much [[odd limit|simpler]] minor thirds exist in higher [[prime limit|limits]], however, for example: | Much [[odd limit|simpler]] minor thirds exist in higher [[prime limit|limits]], however, for example: | ||
* The 5-limit | * The 5-limit classical minor third is a ratio of [[6/5]], and is about 316{{c}}. | ||
* The 7-limit | * The 7-limit (septimal) subminor third is a ratio of [[7/6]], and is about 267{{c}}. | ||
* The 13-limit | * The 13-limit neogothic minor third is a ratio of [[13/11]], and is about 290{{c}}. | ||
** Note that this is | ** Note that this is ''not'' the fifth complement to the neogothic [[major third]] (unless [[364/363]] is tempered out), which is actually a ratio of 33/28, and is about 284{{c}}. | ||
* The 13-limit | * The 13-limit (tridecimal) inframinor third is a ratio of [[15/13]], and is about 248{{c}}. | ||
** There is also a 13-limit | ** There is also a 13-limit (tridecimal) supraminor third, which is a ratio of [[63/52]], and is about 332{{c}}. | ||
* The 17-limit | * The 17-limit (septendecimal) supraminor third is a ratio of [[17/14]], and is about 336{{c}}. | ||
** The | ** The septendecimal subminor third is a ratio of [[20/17]], and is about 281{{c}}. | ||
=== By delta === | === By delta === | ||