Introductory examples in Sagittal notation: Difference between revisions
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In [[22edo]] (third example), the septimal comma is tempered out, but not the syntonic comma. Therefore the symbol at the Bb note can be omitted, but the symbol at the E note has to stay. The diffference between the approximations of Pythagorean and just major third is one 22edo step, which is the best approximation of the syntonic comma in 22edo (more than twice as large as the just syntonic comma, though). | In [[22edo]] (third example), the septimal comma is tempered out, but not the syntonic comma. Therefore the symbol at the Bb note can be omitted, but the symbol at the E note has to stay. The diffference between the approximations of Pythagorean and just major third is one 22edo step, which is the best approximation of the syntonic comma in 22edo (more than twice as large as the just syntonic comma, though). | ||
Another property of 22edo is that the undecimal comma is approximated by one step as well . i.e. undecimal and syntonic comma are the same in 22edo, which makes one of the symbols unnecessary again. Overall, only an additional symbol is used for the notation of 22edo needed (or, more precisely, two - one up and one down), which represents a modification by one 22edo step. The syntonic comma symbol has been defined as the recommended standard symbol for 22edo. | Another property of 22edo is that the undecimal comma is approximated by one step as well . i.e. undecimal and syntonic comma are the same in 22edo, which makes one of the symbols unnecessary again. Overall, only an additional symbol is used for the notation of 22edo needed (or, more precisely, two - one up and one down), which represents a modification by one 22edo step. The syntonic comma symbol has been defined as the recommended standard symbol for 22edo. | ||
Finally, [[31edo]] (last example) is like 12edo a meantone system and thus tempers out the syntonic comma - but not the septimal comma, exactly opposiute to 22edo in this aspect. | |||
[todo] | [todo] | ||
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In <a class="wiki_link" href="/22edo">22edo</a> (third example), the septimal comma is tempered out, but not the syntonic comma. Therefore the symbol at the Bb note can be omitted, but the symbol at the E note has to stay. The diffference between the approximations of Pythagorean and just major third is one 22edo step, which is the best approximation of the syntonic comma in 22edo (more than twice as large as the just syntonic comma, though).<br /> | In <a class="wiki_link" href="/22edo">22edo</a> (third example), the septimal comma is tempered out, but not the syntonic comma. Therefore the symbol at the Bb note can be omitted, but the symbol at the E note has to stay. The diffference between the approximations of Pythagorean and just major third is one 22edo step, which is the best approximation of the syntonic comma in 22edo (more than twice as large as the just syntonic comma, though).<br /> | ||
Another property of 22edo is that the undecimal comma is approximated by one step as well . i.e. undecimal and syntonic comma are the same in 22edo, which makes one of the symbols unnecessary again. Overall, only an additional symbol is used for the notation of 22edo needed (or, more precisely, two - one up and one down), which represents a modification by one 22edo step. The syntonic comma symbol has been defined as the recommended standard symbol for 22edo.<br /> | Another property of 22edo is that the undecimal comma is approximated by one step as well . i.e. undecimal and syntonic comma are the same in 22edo, which makes one of the symbols unnecessary again. Overall, only an additional symbol is used for the notation of 22edo needed (or, more precisely, two - one up and one down), which represents a modification by one 22edo step. The syntonic comma symbol has been defined as the recommended standard symbol for 22edo.<br /> | ||
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Finally, <a class="wiki_link" href="/31edo">31edo</a> (last example) is like 12edo a meantone system and thus tempers out the syntonic comma - but not the septimal comma, exactly opposiute to 22edo in this aspect.<br /> | |||
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[todo]<br /> | [todo]<br /> | ||