SHEFKHED interval names: Difference between revisions

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Today a small number of competing interval naming schemes exist for the description of microtonal music. After a review of the historical development of interval names, and of current proposed schemes, a scheme is developed, taking the best and leaving alone the worst aspects of the existing standards. In addition to the standard diatonic interval name qualifiers - 'M', 'm', 'P', 'A' and 'd', the three most commonly used microtonal qualifies, 'N', 'S' and 's' are used, along with interval-class degrees and the additional qualifiers 'c' and 'C'. Using these ''SHEFKHED interval names'' or ''Smith/Helmholtz/Ellis/Fokker/Keenan/Hearne Extended-diatonic interval names'', almost all small to medium sized [[Equal Temperaments|equal temperaments]] (ETs) can be named such that 'S' and 's' and/or 'C' and 'c' correspond to a displacement of an interval up or down a single degree of the ET, respectively. Many commonly used [[MOS scale|MOS scales]] may also be described using this scheme such that these scales' interval names are expressed consistently in in any tuning that supports them. The scheme, which can also be easily mapped to many of the current interval naming standards, facilitating translation between them, should improve pedagogy and communication in microtonal music.

Today a small number of competing diatonic-based interval naming schemes exist for the description of microtonal music. After a review of the historical development of Western interval names, and of current proposed schemes, a scheme is developed, taking the best and leaving alone the worst aspects of the existing standards. In addition to the standard diatonic interval name qualifiers - 'M', 'm', 'P', 'A' and 'd', the three most commonly used microtonal qualifies, 'N', 'S' and 's' are used, along with interval-class degrees and the additional qualifiers 'c' and 'C'. Using these ''SHEFKHED interval names'' or ''Smith/Helmholtz/Ellis/Fokker/Keenan/Hearne Extended-diatonic interval names'', almost all small to medium sized [[Equal Temperaments|equal temperaments]] (ETs) can be named such that 'S' and 's' and/or 'C' and 'c' correspond to a displacement of an interval up or down a single degree of the ET, respectively. Many commonly used [[MOS scale|MOS scales]] may also be described using this scheme such that these scales' interval names are expressed consistently in in any tuning that supports them. The scheme, which can also be easily mapped to many of the current interval naming standards, facilitating translation between them, should improve pedagogy and communication in microtonal music.

==Background: Interval names from antiquity to today==

Revision as of 05:39, 17 October 2018 view source Mike Battaglia (talk \| contribs) autopatrolled, Bureaucrats, confirmaccount-notify, emailconfirmed, Interface administrators, Sysops 1,399 edits →Dave Keenan's most recent system: typo ← Older edit		Revision as of 06:08, 17 October 2018 view source Gareth.hearne (talk \| contribs) 264 edits No edit summary Tag: Visual edit Newer edit →
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	Today a small number of competing interval naming schemes exist for the description of microtonal music. After a review of the historical development of interval names, and of current proposed schemes, a scheme is developed, taking the best and leaving alone the worst aspects of the existing standards. In addition to the standard diatonic interval name qualifiers - 'M', 'm', 'P', 'A' and 'd', the three most commonly used microtonal qualifies, 'N', 'S' and 's' are used, along with interval-class degrees and the additional qualifiers 'c' and 'C'. Using these ''SHEFKHED interval names'' or ''Smith/Helmholtz/Ellis/Fokker/Keenan/Hearne Extended-diatonic interval names'', almost all small to medium sized [[Equal Temperaments\|equal temperaments]] (ETs) can be named such that 'S' and 's' and/or 'C' and 'c' correspond to a displacement of an interval up or down a single degree of the ET, respectively. Many commonly used [[MOS scale\|MOS scales]] may also be described using this scheme such that these scales' interval names are expressed consistently in in any tuning that supports them. The scheme, which can also be easily mapped to many of the current interval naming standards, facilitating translation between them, should improve pedagogy and communication in microtonal music.		Today a small number of competing diatonic-based interval naming schemes exist for the description of microtonal music. After a review of the historical development of Western interval names, and of current proposed schemes, a scheme is developed, taking the best and leaving alone the worst aspects of the existing standards. In addition to the standard diatonic interval name qualifiers - 'M', 'm', 'P', 'A' and 'd', the three most commonly used microtonal qualifies, 'N', 'S' and 's' are used, along with interval-class degrees and the additional qualifiers 'c' and 'C'. Using these ''SHEFKHED interval names'' or ''Smith/Helmholtz/Ellis/Fokker/Keenan/Hearne Extended-diatonic interval names'', almost all small to medium sized [[Equal Temperaments\|equal temperaments]] (ETs) can be named such that 'S' and 's' and/or 'C' and 'c' correspond to a displacement of an interval up or down a single degree of the ET, respectively. Many commonly used [[MOS scale\|MOS scales]] may also be described using this scheme such that these scales' interval names are expressed consistently in in any tuning that supports them. The scheme, which can also be easily mapped to many of the current interval naming standards, facilitating translation between them, should improve pedagogy and communication in microtonal music.

	==Background: Interval names from antiquity to today==		==Background: Interval names from antiquity to today==