User:Zhenlige/Earth171: Difference between revisions

Line 13:

However, there was not a widely-accepted system that describes the new intervals well enough back then. [[Cent]] values appear to be more physical than musical, since they say little about whether an interval is consonant, and [[JI]] ratios are sometimes unflexible for describing the continuous set of possible pitches. The musicians decided to choose a large [[EDO]] that approximates simple JI intervals well as the new standard tuning. Different EDOs were proposed, namely [[53edo|53]], [[72edo|72]], [[99edo|99]], [[130edo|130]], [[140edo|140]], [[159edo|159]], [[171edo|171]], [[224edo|224]], [[270edo|270]] and [[311edo|311]]. Finally 171edo was chosen because it has very accurate 7-limit and its step size is close to melodic [[JND]].

In 2050, a new standard of digital music based on 171edo was released. Since traditional note names were too inconvenient to represent the full 171edo, a new system of naming absolute pitches was released. Notes are named as “note ''x'' octave ''y''”, where ''x'' ranges from 0 to 170. The frequency of the note is <math>16\cdot2^{x+{y\over171}}</math> Hz. The traditional note names ABCDEFG are considered movable.

In 2050, a new standard of digital music based on 171edo was released. Since traditional note names were too inconvenient to represent the full 171edo, a new system of naming absolute pitches was released. Notes are named as “note ''x'' octave ''y''”, where ''x'' ranges from 0 to 170. The frequency of the note is <math>16\cdot2^{y+{x\over171}}</math> Hz. The traditional note names ABCDEFG are considered movable.

Revision as of 04:29, 9 April 2026 view source Zhenlige (talk \| contribs) autopatrolled 318 edits →History ← Older edit		Latest revision as of 05:07, 9 April 2026 view source Zhenlige (talk \| contribs) autopatrolled 318 edits →History
Line 13:		Line 13:
	However, there was not a widely-accepted system that describes the new intervals well enough back then. [[Cent]] values appear to be more physical than musical, since they say little about whether an interval is consonant, and [[JI]] ratios are sometimes unflexible for describing the continuous set of possible pitches. The musicians decided to choose a large [[EDO]] that approximates simple JI intervals well as the new standard tuning. Different EDOs were proposed, namely [[53edo\|53]], [[72edo\|72]], [[99edo\|99]], [[130edo\|130]], [[140edo\|140]], [[159edo\|159]], [[171edo\|171]], [[224edo\|224]], [[270edo\|270]] and [[311edo\|311]]. Finally 171edo was chosen because it has very accurate 7-limit and its step size is close to melodic [[JND]].		However, there was not a widely-accepted system that describes the new intervals well enough back then. [[Cent]] values appear to be more physical than musical, since they say little about whether an interval is consonant, and [[JI]] ratios are sometimes unflexible for describing the continuous set of possible pitches. The musicians decided to choose a large [[EDO]] that approximates simple JI intervals well as the new standard tuning. Different EDOs were proposed, namely [[53edo\|53]], [[72edo\|72]], [[99edo\|99]], [[130edo\|130]], [[140edo\|140]], [[159edo\|159]], [[171edo\|171]], [[224edo\|224]], [[270edo\|270]] and [[311edo\|311]]. Finally 171edo was chosen because it has very accurate 7-limit and its step size is close to melodic [[JND]].

	In 2050, a new standard of digital music based on 171edo was released. Since traditional note names were too inconvenient to represent the full 171edo, a new system of naming absolute pitches was released. Notes are named as “note ''x'' octave ''y''”, where ''x'' ranges from 0 to 170. The frequency of the note is <math>16\cdot2^{x+{y\over171}}</math> Hz. The traditional note names ABCDEFG are considered movable.		In 2050, a new standard of digital music based on 171edo was released. Since traditional note names were too inconvenient to represent the full 171edo, a new system of naming absolute pitches was released. Notes are named as “note ''x'' octave ''y''”, where ''x'' ranges from 0 to 170. The frequency of the note is <math>16\cdot2^{y+{x\over171}}</math> Hz. The traditional note names ABCDEFG are considered movable.