Pontiac: Difference between revisions

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'''Pontiac''' is a 7-limit (and higher) [[temperament]] of the [[Schismatic family #Pontiac|schismatic family]]. It is an extension of [[Helmholtz temperament|helmholtz]] temperament beyond the 5-limit but with the same simple chain-of-fifths structure (so that standard notation may be used). As in helmholtz temperament, [[5/4]] is mapped to the diminished fourth (e.g. C-F♭), and the new mapping specific to pontiac is that [[7/4]] is mapped to the quintuple augmented third (e.g. C-Exx#). This makes pontiac a [[Ragismic microtemperaments|ragismic temperament]].

'''Pontiac''' is a 7-limit (and higher) [[temperament]] of the [[Schismatic family #Pontiac|schismatic family]]. It is an extension of [[Helmholtz (temperament)|helmholtz]] temperament beyond the 5-limit but with the same simple chain-of-fifths structure (so that standard notation may be used). As in helmholtz temperament, [[5/4]] is mapped to the diminished fourth (e.g. C-F♭), and the new mapping specific to pontiac is that [[7/4]] is mapped to the quintuple augmented third (e.g. C-Exx#). This makes pontiac a [[Ragismic microtemperaments|ragismic temperament]].

Immediate 11-limit extensions include ''helenoid'' (53 & 65), mapping 11/8 to -30 fifths, ''ponta'' (53 & 171), mapping 11/8 to -83 fifths, and ''pontic'' (118 & 171), mapping 11/8 to +88 fifths.

Revision as of 15:38, 16 April 2025 view source Sintel (talk \| contribs) autopatrolled, emailconfirmed 1,632 edits fix helmholtz link ← Older edit		Revision as of 02:28, 17 April 2025 view source Lériendil (talk \| contribs) 8,044 edits m Text replacement - "[[Helmholtz temperament\|" to "[[Helmholtz (temperament)\|" Tags: Mobile edit Mobile web edit Newer edit →
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	'''Pontiac''' is a 7-limit (and higher) [[temperament]] of the [[Schismatic family #Pontiac\|schismatic family]]. It is an extension of [[Helmholtz temperament\|helmholtz]] temperament beyond the 5-limit but with the same simple chain-of-fifths structure (so that standard notation may be used). As in helmholtz temperament, [[5/4]] is mapped to the diminished fourth (e.g. C-F♭), and the new mapping specific to pontiac is that [[7/4]] is mapped to the quintuple augmented third (e.g. C-Exx#). This makes pontiac a [[Ragismic microtemperaments\|ragismic temperament]].		'''Pontiac''' is a 7-limit (and higher) [[temperament]] of the [[Schismatic family #Pontiac\|schismatic family]]. It is an extension of [[Helmholtz (temperament)\|helmholtz]] temperament beyond the 5-limit but with the same simple chain-of-fifths structure (so that standard notation may be used). As in helmholtz temperament, [[5/4]] is mapped to the diminished fourth (e.g. C-F♭), and the new mapping specific to pontiac is that [[7/4]] is mapped to the quintuple augmented third (e.g. C-Exx#). This makes pontiac a [[Ragismic microtemperaments\|ragismic temperament]].

	Immediate 11-limit extensions include ''helenoid'' (53 & 65), mapping 11/8 to -30 fifths, ''ponta'' (53 & 171), mapping 11/8 to -83 fifths, and ''pontic'' (118 & 171), mapping 11/8 to +88 fifths.		Immediate 11-limit extensions include ''helenoid'' (53 & 65), mapping 11/8 to -30 fifths, ''ponta'' (53 & 171), mapping 11/8 to -83 fifths, and ''pontic'' (118 & 171), mapping 11/8 to +88 fifths.