User:CritDeathX/Sam's 19-note Well Temperament: Difference between revisions

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== The Math Behind It ==

Now, since we want to use two generators, we must need to figure out what generators to use by this point. The intervals I have in mind as generators are [[9/7]] and 5/4, just so that we can keep everything in check. Lets use 6\19 for 5/4 and 7\19 for [[9/7]], per tradition.

Now, since we want to use two generators, we must need to figure out what generators to use by this point. The intervals I have in mind as generators are [[9/7]] and 5/4, just so that we can keep everything in check. Lets use 6\19 for 5/4 and 7\19 for 9/7, per tradition.

Starting with 5/4, we can choose the intervals we want and end up with this equation:

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Multiplying our answer by 1200 gives 443.129594209c. This is around the same as 19EDO.

The next question comes to what stacks do we use from each generator? Well, lets see what our generators give~~<sub>(''note; these are just the closest approximations i could find. they're not representative of the actual limit of this tuning'')</sub>~~:

The next question comes to what stacks do we use from each generator? Well, lets see what our generators give:

{| class="wikitable"

!1/1

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|A3

|}

And we have our wonderful, unequal scale; [https://sevish.com/scaleworkshop/?name=19-note%20Well%20Temperament&data=74.425536299%0A129.388782627%0A203.814318926%0A261.29129847%0A320.73788484%0A388.166347881%0A443.129594209%0A498.092840537%0A572.518376836%0A641.47576968%0A701.907159463%0A760.36894242%0A831.29594209%0A886.259188418%0A962.21365452%0A1015.64797104%0A1081.10682726%0A1140.55341363%0A1200.0&freq=261.625565&midi=60&vert=1&horiz=3&colors=&waveform=triangle&ampenv=organ our 19-note well temperament tuning].

And we have our wonderful, unequal scale; [https://sevish.com/scaleworkshop/?name=19-note%20Well%20Temperament&data=74.425536299%0A129.388782627%0A203.814318926%0A261.29129847%0A320.73788484%0A388.166347881%0A443.129594209%0A498.092840537%0A572.518376836%0A641.47576968%0A701.907159463%0A760.36894242%0A831.29594209%0A886.259188418%0A962.21365452%0A1015.64797104%0A1081.10682726%0A1140.55341363%0A1200.0&freq=261.625565&midi=60&vert=2&horiz=3&colors=&waveform=triangle&ampenv=organ our 19-note well temperament tuning].

== The Scale ==

@@ Line 11: / Line 11: @@
 == The Math Behind It ==
-Now, since we want to use two generators, we must need to figure out what generators to use by this point. The intervals I have in mind as generators are [[9/7]] and 5/4, just so that we can keep everything in check. Lets use 6\19 for 5/4 and 7\19 for [[9/7]], per tradition.
+Now, since we want to use two generators, we must need to figure out what generators to use by this point. The intervals I have in mind as generators are [[9/7]] and 5/4, just so that we can keep everything in check. Lets use 6\19 for 5/4 and 7\19 for 9/7, per tradition.
 Starting with 5/4, we can choose the intervals we want and end up with this equation:
@@ Line 25: / Line 25: @@
 Multiplying our answer by 1200 gives 443.129594209c. This is around the same as 19EDO.
-The next question comes to what stacks do we use from each generator? Well, lets see what our generators give<sub>(''note; these are just the closest approximations i could find. they're not representative of the actual limit of this tuning'')</sub>:
+The next question comes to what stacks do we use from each generator? Well, lets see what our generators give:
 {| class="wikitable"
 !1/1
@@ Line 145: / Line 145: @@
 |A3
 |}
-And we have our wonderful, unequal scale; [https://sevish.com/scaleworkshop/?name=19-note%20Well%20Temperament&data=74.425536299%0A129.388782627%0A203.814318926%0A261.29129847%0A320.73788484%0A388.166347881%0A443.129594209%0A498.092840537%0A572.518376836%0A641.47576968%0A701.907159463%0A760.36894242%0A831.29594209%0A886.259188418%0A962.21365452%0A1015.64797104%0A1081.10682726%0A1140.55341363%0A1200.0&freq=261.625565&midi=60&vert=1&horiz=3&colors=&waveform=triangle&ampenv=organ our 19-note well temperament tuning].
+And we have our wonderful, unequal scale; [https://sevish.com/scaleworkshop/?name=19-note%20Well%20Temperament&data=74.425536299%0A129.388782627%0A203.814318926%0A261.29129847%0A320.73788484%0A388.166347881%0A443.129594209%0A498.092840537%0A572.518376836%0A641.47576968%0A701.907159463%0A760.36894242%0A831.29594209%0A886.259188418%0A962.21365452%0A1015.64797104%0A1081.10682726%0A1140.55341363%0A1200.0&freq=261.625565&midi=60&vert=2&horiz=3&colors=&waveform=triangle&ampenv=organ our 19-note well temperament tuning].
 == The Scale ==