2ed13/10: Difference between revisions
m Eliora moved page Square root of 13 over 10 to 2ed13/10: This is discussing the tuning system resulted by dividing 13/10 in two, not an interval of (13/10)^(1/2). |
No edit summary |
||
| Line 1: | Line 1: | ||
=13:10= | ==13:10== | ||
[[13/10|13:10]], as a frequency ratio, measures approximately 454.2 cents. It lies in the extremely xenharmonic and ambiguous territory between the perceptual category of a "third" and that of a "fourth" (see [[Interseptimal|interseptimal]]). It appears in the [[OverToneSeries|overtone series]] between the tenth and thirteen overtones. | [[13/10|13:10]], as a frequency ratio, measures approximately 454.2 cents. It lies in the extremely xenharmonic and ambiguous territory between the perceptual category of a "third" and that of a "fourth" (see [[Interseptimal|interseptimal]]). It appears in the [[OverToneSeries|overtone series]] between the tenth and thirteen overtones. | ||
| Line 7: | Line 7: | ||
The "square root of 13:10", then, means an interval which logarithmically bisects 13:10. It's an irrational number which measures, in cents, about 227.1. | The "square root of 13:10", then, means an interval which logarithmically bisects 13:10. It's an irrational number which measures, in cents, about 227.1. | ||
= | ==2ed13/10 as a scale== | ||
"The square root of 13:10" can also refer to the scale that is produced by repeatedly stacking the interval "the square root of 13:10". It is an [[edonoi|EDONOI]], or "equal division of a nonoctave interval," and as such, it does not contain a perfect octave (2:1). It is also [[macrotonal|macrotonal]], since the smallest step, at 227.1 cents, is larger than a semitone. | "The square root of 13:10" can also refer to the scale that is produced by repeatedly stacking the interval "the square root of 13:10". It is an [[edonoi|EDONOI]], or "equal division of a nonoctave interval," and as such, it does not contain a perfect octave (2:1). It is also [[macrotonal|macrotonal]], since the smallest step, at 227.1 cents, is larger than a semitone. | ||