2019edo: Difference between revisions

Revision as of 14:21, 6 May 2023

2019edo is excellent in the 2.3.5.7 subgroup, and with such small errors it supports a noticeable amount of very high accuracy temperaments.

Approximation of prime harmonics in 2019edo
Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.000	-0.023	+0.016	-0.029	+0.242	-0.112	+0.245	+0.258	-0.043	-0.157	+0.284
Error	Relative (%)	+0.0	-3.9	+2.7	-5.0	+40.8	-18.8	+41.3	+43.4	-7.2	-26.4	+47.8
Steps (reduced)		2019 (0)	3200 (1181)	4688 (650)	5668 (1630)	6985 (928)	7471 (1414)	8253 (177)	8577 (501)	9133 (1057)	9808 (1732)	10003 (1927)

Periods per 8ve	Generator (Reduced)	Cents (Reduced)	Associated Ratio	Temperaments
1	154\2019	91.530	1953125000000000/1853020188851841	Gross
1	307\2019	182.467	10/9	Minortone
3	307\2019	182.467	10/9	Domain

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 {{Infobox ET}}
 {{EDO intro|2019}}
 == Theory ==
+edo is excellent in the 2.3.5.7 subgroup, and with such small errors it supports a noticeable amount of [[very high accuracy temperaments]].
+=== Prime harmonics ===
 {{Harmonics in equal|2019}}
-edo is excellent in the 2.3.5.7 subgroup, supporting temperaments like saquadtrizo-asepgu and starscape.
+== Regular temperament properties ==
+=== Rank-2 temperaments ===
-In addition, it is a tuning for the [[minortone]] and [[Minortonic family#Domain|domain]] temperaments.
+{| class="wikitable center-all left-5"
+! Periods<br>per 8ve
-== See also ==
+! Generator<br>(Reduced)
-* [[Very high accuracy temperaments]]
+! Cents<br>(Reduced)
+! Associated<br>Ratio
+! Temperaments
+|-
+| 1
+| 154\2019
+| 91.530
+| 1953125000000000/1853020188851841
+| [[Gross]]
+|-
+| 1
+| 307\2019
+| 182.467
+| 10/9
+| [[Minortone]]
+|-
+| 3
+| 307\2019
+| 182.467
+| 10/9
+| [[Domain]]
+|}
 [[Category:Equal divisions of the octave|####]] <!-- 4-digit number -->