AFDO: Difference between revisions

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== Using AFDOs to make EDO interval tables ==

To make a quick and dirty table of intervals in an edo, you can go to Scale Workshop and ~~use "~~approximate by harmonics" ~~to make a list of~~ JI ratios ~~for each interval. Copy-paste it into Excel to make a~~ table.

To make a quick and dirty table of intervals in an edo, you can go to [[Scale Workshop]] and do the following:

# New scale > equal temperament > the edo you want

# Paste the result into the first column in Excel

# Go back to Scale Workshop

# Modify > approximate by harmonics > an afdo selected according to the table below (or choose your own)

# Modify > reduce

# Paste the result into the second column in Excel

# Title the first column "Edo step" and the second column "JI ratios"

Your table is now complete!

Do note that this is not a replacement for a manually curated table of intervals, nor is it even a replacement for a more cleverly computed table of intervals. This method is very crude.

Do note that this is not a replacement for a manually curated table of intervals, nor is it even a replacement for a more cleverly computed table of intervals such as those generated by [[Template:Interval Table]] or [[Template:Huge Table]]. This method is very crude.

Here is a table recommending what afdo to choose (i.e. what number to put for "approximate by harmonics"). The afdos recommended are the superior highly composite numbers (OEIS A002201):

But it is very computationally light, so it can be helpful for really, really big edos that are difficult to document any other way.

Here is the table recommending what afdo to choose (i.e. what number to put for "approximate by harmonics"). The afdos recommended are the superior highly composite numbers (OEIS A002201):

{| class="wikitable"

@@ Line 322: / Line 322: @@
 == Using AFDOs to make EDO interval tables ==
-To make a quick and dirty table of intervals in an edo, you can go to Scale Workshop and use "approximate by harmonics" to make a list of JI ratios for each interval. Copy-paste it into Excel to make a table.
+To make a quick and dirty table of intervals in an edo, you can go to [[Scale Workshop]] and do the following:
+# New scale > equal temperament > the edo you want
+# Paste the result into the first column in Excel
+# Go back to Scale Workshop
+# Modify > approximate by harmonics > an afdo selected according to the table below (or choose your own)
+# Modify > reduce
+# Paste the result into the second column in Excel
+# Title the first column "Edo step" and the second column "JI ratios"
+Your table is now complete!
-Do note that this is not a replacement for a manually curated table of intervals, nor is it even a replacement for a more cleverly computed table of intervals. This method is very crude.
+Do note that this is not a replacement for a manually curated table of intervals, nor is it even a replacement for a more cleverly computed table of intervals such as those generated by [[Template:Interval Table]] or [[Template:Huge Table]]. This method is very crude.
-Here is a table recommending what afdo to choose (i.e. what number to put for "approximate by harmonics"). The afdos recommended are the superior highly composite numbers (OEIS A002201):
+But it is very computationally light, so it can be helpful for really, really big edos that are difficult to document any other way.
+Here is the table recommending what afdo to choose (i.e. what number to put for "approximate by harmonics"). The afdos recommended are the superior highly composite numbers (OEIS A002201):
 {| class="wikitable"