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Harmonic entropy of just intervals: Difference between revisions

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This table was made with [[Scale Workshop]]. It was made by starting with 810ed8 ([[270edo]] but treating 8/1 as the [[period]]), then using "convert interval values>fraction" with a tolerance of 4.4 cents to convert all the intervals into the nearest simple just interval (according to Scale Workshop's default settings). Then Scale Workshop's built-in harmonic entropy table was used to get the cents and the harmonic entropy (again, everything left on its default settings).
This table was made with [[Scale Workshop]]. It was made by starting with 810ed8 ([[270edo]] but treating 8/1 as the [[period]]), then using "convert interval values>fraction" with a tolerance of 4.4 cents to convert all the intervals into the nearest simple just interval (according to Scale Workshop's default settings). Then Scale Workshop's built-in harmonic entropy table was used to get the cents and the harmonic entropy (again, everything left on its default settings).


== The table ==
== Table of intervals ==
 
=== 1/1 to 3/2 ===
{| class="wikitable mw-collapsible sortable"
{| class="wikitable mw-collapsible sortable"
|+ Harmonic entropy of just intervals
|+ Harmonic entropy of just intervals
Line 246: Line 248:
|-
|-
| [[100/67]] || 693.320 || 74.956 ||   
| [[100/67]] || 693.320 || 74.956 ||   
|-
| [[3/2]] || 701.955 || 71.779 || 
|}
=== 3/2 to 2/1 ===
{| class="wikitable mw-collapsible sortable"
|+ Harmonic entropy of just intervals
! Ratio !! Size (cents) !! Harmonic entropy (%) !! Comments
|-
|-
| [[3/2]] || 701.955 || 71.779 ||   
| [[3/2]] || 701.955 || 71.779 ||   
Line 416: Line 426:
|-
|-
| [[389/195]] || 1195.555 || 41.234 ||   
| [[389/195]] || 1195.555 || 41.234 ||   
|-
| [[2/1]] || 1200.000 || 39.006 || 
|}
=== 2/1 to 3/1 ===
{| class="wikitable mw-collapsible sortable"
|+ Harmonic entropy of just intervals
! Ratio !! Size (cents) !! Harmonic entropy (%) !! Comments
|-
|-
| [[2/1]] || 1200.000 || 39.006 ||   
| [[2/1]] || 1200.000 || 39.006 ||   
Line 652: Line 670:
|-
|-
| [[200/67]] || 1893.320 || 60.026 ||   
| [[200/67]] || 1893.320 || 60.026 ||   
|-
| [[3/1]] || 1901.955 || 54.245 || 
|}
=== 3/1 to 4/1 ===
{| class="wikitable mw-collapsible sortable"
|+ Harmonic entropy of just intervals
! Ratio !! Size (cents) !! Harmonic entropy (%) !! Comments
|-
|-
| [[3/1]] || 1901.955 || 54.245 ||   
| [[3/1]] || 1901.955 || 54.245 ||   
Line 824: Line 850:
|-
|-
| [[387/97]] || 2395.532 || 64.080 ||   
| [[387/97]] || 2395.532 || 64.080 ||   
|-
| [[4/1]] || 2400.000 || 62.798 || 
|}
=== 4/1 to 6/1 ===
{| class="wikitable mw-collapsible sortable"
|+ Harmonic entropy of just intervals
! Ratio !! Size (cents) !! Harmonic entropy (%) !! Comments
|-
|-
| [[4/1]] || 2400.000 || 62.798 ||   
| [[4/1]] || 2400.000 || 62.798 ||   
Line 1,068: Line 1,102:
|-
|-
| [[6/1]] || 3101.955 || 71.731 ||   
| [[6/1]] || 3101.955 || 71.731 ||   
|}
=== 6/1 to 8/1 ===
{| class="wikitable mw-collapsible sortable"
|+ Harmonic entropy of just intervals
! Ratio !! Size (cents) !! Harmonic entropy (%) !! Comments
|-
| [[6/1]] || 3101.955 || 71.731 ||
|-
|-
| [[367/61]] || 3106.679 || 72.714 ||   
| [[367/61]] || 3106.679 || 72.714 ||   
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