User:CritDeathX/Sam's Neo-Gothic Comma

Introduction

So, if you come over to my 17-note well temperament thingie, you may noticed that I listed a comma in the Little Observations category. Making this into an actual ratio, its 2685546875/2675441664, and its the difference between six 25/24s and a 14/11, one of 6.52659708133c. Considering I never seen this comma anywhere else on the wiki, I shall take it upon myself and name it the neo-gothic comma, since 14/11 is a neo-gothic M3.

Now we look at the temperaments that take out this comma, aside from my own temperament.

Temperaments

Rank-1

<68 108 158 191 235] 68p

<87 138 202 244 301] 87

<103 163 239 289 356] 103

<121 192 281 340 419] 121

<190 301 441 533 657] 190

Rank-2

<1 14 6 -28 3], <0 -27 -8 67 1] Emkay

<1 16 8 -2 17], <0 -33 -13 11 -31] Widefourth

<2 7 7 23 19], <0 -13 -8 -59 -41] Quatracot

<1 0 1 -12 -5], <0 6 5 56 32] Metakleismic

<1 6 6 12 -5 14], <0 -12 -10 -25 23 -28] Clyde

<1 1 0 2 3 3], < 0 5 20 7 4 6] Neo-Gothic

Rank-3

<1 0 0 -6 13], <0 1 1 3 -3], <0 0 2 11 -13] 171e & 87 & 190

<1 0 0 16 35], <0 1 0 -1 5], <0 0 1 -5 -17] 171e & 224 & 87

Rank-4

<1 0 0 0 19], <0 1 0 0 6], <0 0 1 0 -12], <0 0 0 1 1] 171e & 190 & 224 & 87

Scale Tree Graphs For Rank-2 Temperaments

http://www.microtonalsoftware.com/scale-tree.html?left=11&right=13&rr=1200&ioi=551.7746 Emkay

http://www.microtonalsoftware.com/scale-tree.html?left=7&right=9&rr=1200&ioi=524.2098 Widefourth

http://www.microtonalsoftware.com/scale-tree.html?left=7&right=10&rr=1200&ioi=176.8061 Quatracot

http://www.microtonalsoftware.com/scale-tree.html?left=4&right=7&rr=1200&ioi=317.3111 Metakleismic

http://www.microtonalsoftware.com/scale-tree.html?left=3&right=8&rr=1200&ioi=441.3634 Clyde

http://www.microtonalsoftware.com/scale-tree.html?left=8&right=9&rr=1200&ioi=138.718618248 Neo-Gothic