Douglas Blumeyer's RTT How-To: Difference between revisions

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And the two 17-ETs we looked at can be found here too. {{val|17 27 40}} is the slightly smaller numeral 17 found on the line labeled “meantone” which the 12 is also on, thus representing the fact we mentioned earlier that they both temper it out. The other 17, {{val|17 27 39}}, is found on the other side of the center point, aligned horizontally with the first 17. So you could say that map space plots ETs, showing how they are related to each other.

Of course, PTS looks nothing like this JI lattice. His diagram has a ton more information, and as such, he needed to get creative about how to structure it. It’s a little tricky, but we’ll get there. For starters, the axes are not actually shown on the PTS diagram; if they were, they would look like this ''(see Figure 2c)''.

Of course, PTS looks nothing like this JI lattice ''(see Figure 2b)''. His diagram has a ton more information, and as such, he needed to get creative about how to structure it. It’s a little tricky, but we’ll get there. For starters, the axes are not actually shown on the PTS diagram; if they were, they would look like this ''(see Figure 2c)''.

The 2-axis points toward the bottom right, the 3-axis toward the top right, and the 5-axis toward the left. These are the positive halves of each of these axes; we don’t need to worry about the negative halves of any of them, because every term of every ET map is positive.

And so it makes sense that {{val|17 27 40}} and {{val|17 27 39}} are aligned horizontally, because the only difference between their maps is in the 5-term, and the 5-axis is horizontal.

=== scaled axes ===

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 And the two 17-ETs we looked at can be found here too. {{val|17 27 40}} is the slightly smaller numeral 17 found on the line labeled “meantone” which the 12 is also on, thus representing the fact we mentioned earlier that they both temper it out. The other 17, {{val|17 27 39}}, is found on the other side of the center point, aligned horizontally with the first 17. So you could say that map space plots ETs, showing how they are related to each other.
-Of course, PTS looks nothing like this JI lattice. His diagram has a ton more information, and as such, he needed to get creative about how to structure it. It’s a little tricky, but we’ll get there. For starters, the axes are not actually shown on the PTS diagram; if they were, they would look like this ''(see Figure 2c)''.
+Of course, PTS looks nothing like this JI lattice ''(see Figure 2b)''. His diagram has a ton more information, and as such, he needed to get creative about how to structure it. It’s a little tricky, but we’ll get there. For starters, the axes are not actually shown on the PTS diagram; if they were, they would look like this ''(see Figure 2c)''.
 The 2-axis points toward the bottom right, the 3-axis toward the top right, and the 5-axis toward the left. These are the positive halves of each of these axes; we don’t need to worry about the negative halves of any of them, because every term of every ET map is positive.
 And so it makes sense that {{val|17 27 40}} and {{val|17 27 39}} are aligned horizontally, because the only difference between their maps is in the 5-term, and the 5-axis is horizontal.
 === scaled axes ===