User:Contribution/Exploring Selected Modes in 19-EDO: Difference between revisions
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== Mapping == | |||
sharpness = 1 | |||
L = 3 ; s = 2 | |||
{| class="wikitable center-all" | |||
!Degree | |||
!Notation | |||
!Approximate Ratios | |||
!Approximate Ratios | |||
!Notation | |||
!Degree | |||
|- | |||
|0 | |||
|P1 | |||
|<u>1/1</u> | |||
|<u>2/1</u> | |||
|P8 | |||
|19 | |||
|- | |||
|1 | |||
|A1, d2 | |||
| | |||
| | |||
|A7, d8 | |||
|18 | |||
|- | |||
|2 | |||
|m2 | |||
|16/15, 15/14, <u>14/13</u>, 13/12 | |||
|24/13, <u>13/7</u>, 28/15, 15/8 | |||
|M7 | |||
|17 | |||
|- | |||
|3 | |||
|M2 | |||
|<u>10/9</u>, 9/8 | |||
|16/9, <u>9/5</u> | |||
|m7 | |||
|16 | |||
|- | |||
|4 | |||
|A2, d3 | |||
|8/7, <u>15/13</u>, 7/6 | |||
|12/7, <u>26/15,</u> 7/4 | |||
|A6, d7 | |||
|15 | |||
|- | |||
|5 | |||
|m3 | |||
|<u>6/5</u> | |||
|<u>5/3</u> | |||
|M6 | |||
|14 | |||
|- | |||
|6 | |||
|M3 | |||
|16/13, <u>5/4</u> | |||
|<u>8/5</u>, 13/8 | |||
|m6 | |||
|13 | |||
|- | |||
|7 | |||
|A3, d4 | |||
|<u>9/7</u>, 13/10 | |||
|20/13, <u>14/9</u> | |||
|A5, d6 | |||
|12 | |||
|- | |||
|8 | |||
|P4 | |||
|<u>4/3</u> | |||
|<u>3/2</u> | |||
|P5 | |||
|11 | |||
|- | |||
|9 | |||
|A4 | |||
|<u>18/13</u>, 7/5 | |||
|10/7, <u>13/9</u> | |||
|d5 | |||
|10 | |||
|} | |||
== Rank-2 5-limit temperaments == | == Rank-2 5-limit temperaments == | ||
{| class="wikitable" | {| class="wikitable" | ||
| Line 4: | Line 87: | ||
!Period | !Period | ||
!Generator | !Generator | ||
! | !Temperaments | ||
!5-limit commas | !5-limit commas | ||
|- | |- | ||
| Line 51: | Line 134: | ||
|[[Syntonic–kleismic equivalence continuum#Stump|Stump]] | |[[Syntonic–kleismic equivalence continuum#Stump|Stump]] | ||
|[[273375/262144]] | |[[273375/262144]] | ||
|} | |||
== MOS Modes == | |||
{| class="wikitable" | |||
|+ | |||
!Period | |||
!Generator | |||
!Necklace | |||
!Proposed Name | |||
|- | |||
|19\19 | |||
|2\19 | |||
|2 2 2 2 2 1 2 2 2 2 | |||
|Negri[10]@19edo | |||
|- | |||
|19\19 | |||
|3\19 | |||
|1 2 1 2 1 2 1 2 1 2 1 2 1 | |||
|Unsmate[13]@19edo | |||
|- | |||
| rowspan="2" |19\19 | |||
| rowspan="2" |4\19 | |||
|3 1 3 1 3 1 3 1 3 | |||
|Hogzilla[9]@19edo | |||
|- | |||
|1 2 1 1 2 1 2 1 1 2 1 1 2 1 | |||
|Hogzilla[14]@19edo | |||
|- | |||
| rowspan="2" |19\19 | |||
| rowspan="2" |5\19 | |||
|1 3 1 1 3 1 3 1 1 3 1 | |||
|Kleismic[11]@19edo | |||
|- | |||
|1 2 1 1 1 2 1 1 1 2 1 1 1 2 1 | |||
|Kleismic[15]@19edo | |||
|- | |||
| rowspan="3" |19\19 | |||
| rowspan="3" |6\19 | |||
|1 4 1 1 4 1 1 1 4 1 | |||
|Magic[10]@19edo | |||
|- | |||
|1 1 3 1 1 1 3 1 1 1 3 1 1 | |||
|Magic[13]@19edo | |||
|- | |||
|1 1 2 1 1 1 1 2 1 1 1 1 1 2 1 1 | |||
|Magic[16]@19edo | |||
|- | |||
|19\19 | |||
|7\19 | |||
|2 1 2 2 2 1 2 2 2 1 2 | |||
|Sensi[11]@19edo | |||
|- | |||
|19\19 | |||
|8\19 | |||
|2 1 2 1 2 2 1 2 1 2 1 2 | |||
|Meantone[12]@19edo | |||
|- | |||
|1\19 | |||
|1\19 | |||
|1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | |||
|19edo | |||
|} | |} | ||