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Pinetone: Difference between revisions

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Lhearne (talk | contribs)
autopatrolled, emailconfirmed
1,636 edits
Line 1,884: Line 1,884:
!Mode as simplest JI pre-image
!Mode as simplest JI pre-image
!Mode in cents
!Mode in cents
!Listen
|-
|-
|Bright quartal diminished
|[https://xenpaper.com/#%7B0c_175.892c_318.667c_494.559c_637.334c_813.226c_956.002c_1131.893c_1198.660c_1374.552c_1517.327c_1693.219c_1835.994c_2011.886c_2154.661c%7D0_1_2_3_4_5_6_7_8_7_6_5_4_3_2_1_0-.._0-_1-_2-_%5B0_3%5D-_%5B1_4%5D-_%5B2_5%5D-_%5B0_3_6%5D-_%5B1_4_7%5D-_%5B2_5_8%5D-_%5B1_4_7%5D-_%5B0_3_6%5D-_%5B2_5%5D-_%5B1_4%5D-_%5B0_3%5D-_2-_1-_0-.._%5B0_3_6%5D-_%5B1_4_7%5D-_%5B2_5_8%5D-_%5B3_6_9%5D-_%5B4_7_10%5D-_%5B5_8_11%5D-_%5B6_9_12%5D-_%5B7_10_13%5D-_%5B8_11_14%5D-_%5B7_10_13%5D-_%5B6_9_12%5D-_%5B5_8_11%5D-_%5B4_7_10%5D-_%5B3_6_9%5D-_%5B2_5_8%5D-_%5B1_4_7%5D-_%5B0_3_6%5D--- Bright quartal diminished]
|LMLMLMLs
|LMLMLMLs
|~ 10/9 6/5 4/3 13/9 8/5 26/15 48/25 2/1
|~ 10/9 6/5 4/3 13/9 8/5 26/15 48/25 2/1
|175.892 318.667 494.559 637.334 813.226 956.002 1131.893 1198.660
|175.892 318.667 494.559 637.334 813.226 956.002 1131.893 1198.660
|<iframe width="560" height="315" src="https://xenpaper.com/#embed:%7B0c_175.892c_318.667c_494.559c_637.334c_813.226c_956.002c_1131.893c_1198.660c_1374.552c_1517.327c_1693.219c_1835.994c_2011.886c_2154.661c%7D0_1_2_3_4_5_6_7_8_7_6_5_4_3_2_1_0-.._0-_1-_2-_%5B0_3%5D-_%5B1_4%5D-_%5B2_5%5D-_%5B0_3_6%5D-_%5B1_4_7%5D-_%5B2_5_8%5D-_%5B1_4_7%5D-_%5B0_3_6%5D-_%5B2_5%5D-_%5B1_4%5D-_%5B0_3%5D-_2-_1-_0-.._%5B0_3_6%5D-_%5B1_4_7%5D-_%5B2_5_8%5D-_%5B3_6_9%5D-_%5B4_7_10%5D-_%5B5_8_11%5D-_%5B6_9_12%5D-_%5B7_10_13%5D-_%5B8_11_14%5D-_%5B7_10_13%5D-_%5B6_9_12%5D-_%5B5_8_11%5D-_%5B4_7_10%5D-_%5B3_6_9%5D-_%5B2_5_8%5D-_%5B1_4_7%5D-_%5B0_3_6%5D---" title="Xenpaper" frameborder="0"></iframe>
|-
|-
|Bright major diminished
|Bright major diminished
Line 1,894: Line 1,896:
|~ 10/9 6/5 4/3 13/9 8/5 5/3 11/6 2/1
|~ 10/9 6/5 4/3 13/9 8/5 5/3 11/6 2/1
|175.892 318.667 494.559 637.334 813.226 879.993 1055.884 1198.660
|175.892 318.667 494.559 637.334 813.226 879.993 1055.884 1198.660
|
|-
|-
|Dark quartal diminished
|Dark quartal diminished
Line 1,899: Line 1,902:
|~ 12/11 6/5 13/10 13/9 39/25 26/15 9/5 2/1
|~ 12/11 6/5 13/10 13/9 39/25 26/15 9/5 2/1
|142.775 318.667 461.443 637.334 780.120 956.002 1022.768 1198.660
|142.775 318.667 461.443 637.334 780.120 956.002 1022.768 1198.660
|
|-
|-
|Dark major diminished
|Dark major diminished
Line 1,904: Line 1,908:
|~ 10/9 6/5 4/3 13/9 20/13 5/3 11/6 2/1
|~ 10/9 6/5 4/3 13/9 20/13 5/3 11/6 2/1
|175.892 318.667 494.559 561.325 737.218 879.993 1055.884 1198.660
|175.892 318.667 494.559 561.325 737.218 879.993 1055.884 1198.660
|
|-
|-
|Middle major diminished
|Middle major diminished
Line 1,909: Line 1,914:
|~ 12/11 6/5 13/10 13/9 3/2 5/3 9/5 2/1
|~ 12/11 6/5 13/10 13/9 3/2 5/3 9/5 2/1
|142.775 318.667 461.443 637.334 704.101 879.993 1022.768 1198.660
|142.775 318.667 461.443 637.334 704.101 879.993 1022.768 1198.660
|
|-
|-
|Middle minor diminished
|Middle minor diminished
Line 1,914: Line 1,920:
|~ 10/9 15/13 50/39 11/8 20/13 5/3 11/6 2/1
|~ 10/9 15/13 50/39 11/8 20/13 5/3 11/6 2/1
|175.892 242.658 418.550 561.325 737.218 879.993 1055.884 1198.660
|175.892 242.658 418.550 561.325 737.218 879.993 1055.884 1198.660
|
|-
|-
|Bright minor diminished
|Bright minor diminished
Line 1,919: Line 1,926:
|~ 12/11 6/5 5/4 11/8 3/2 5/3 9/5 2/1
|~ 12/11 6/5 5/4 11/8 3/2 5/3 9/5 2/1
|142.775 318.667 385.433 561.325 704.101 879.993 1022.768 1198.660
|142.775 318.667 385.433 561.325 704.101 879.993 1022.768 1198.660
|
|-
|-
|Dark minor diminished
|Dark minor diminished
Line 1,924: Line 1,932:
|~ 25/24 15/13 5/4 11/8 3/2 5/3 9/5 2/1
|~ 25/24 15/13 5/4 11/8 3/2 5/3 9/5 2/1
|66.766 242.658 385.433 561.325 704.101 879.993 1022.768 1198.660
|66.766 242.658 385.433 561.325 704.101 879.993 1022.768 1198.660
|
|}
|}
{| class="wikitable"
{| class="wikitable"
Line 2,148: Line 2,157:
!Porcutone octatonic name
!Porcutone octatonic name
!JI triad approximated*
!JI triad approximated*
!Listen
|-
|-
|Bright quartal diminished
|Bright quartal diminished
Line 2,157: Line 2,165:
|[8] major augmented
|[8] major augmented
|15:20:26 (12:16:21)
|15:20:26 (12:16:21)
|https://xenpaper.com/#%7B0c_175.892c_318.667c_494.559c_637.334c_813.226c_956.002c_1131.893c_1198.660c_1374.552c_1517.327c_1693.219c_1835.994c_2011.886c_2154.661c%7D0_1_2_3_4_5_6_7_8_7_6_5_4_3_2_1_0-.._0-_1-_2-_%5B0_3%5D-_%5B1_4%5D-_%5B2_5%5D-_%5B0_3_6%5D-_%5B1_4_7%5D-_%5B2_5_8%5D-_%5B1_4_7%5D-_%5B0_3_6%5D-_%5B2_5%5D-_%5B1_4%5D-_%5B0_3%5D-_2-_1-_0-.._%5B0_3_6%5D-_%5B1_4_7%5D-_%5B2_5_8%5D-_%5B3_6_9%5D-_%5B4_7_10%5D-_%5B5_8_11%5D-_%5B6_9_12%5D-_%5B7_10_13%5D-_%5B8_11_14%5D-_%5B7_10_13%5D-_%5B6_9_12%5D-_%5B5_8_11%5D-_%5B4_7_10%5D-_%5B3_6_9%5D-_%5B2_5_8%5D-_%5B1_4_7%5D-_%5B0_3_6%5D---
|-
|-
|Bright major diminished
|Bright major diminished
Line 2,166: Line 2,173:
|[8] major
|[8] major
|3:4:5
|3:4:5
|
|-
|-
|Dark quartal diminished
|Dark quartal diminished
Line 2,175: Line 2,181:
|[8] minor augmented
|[8] minor augmented
|30:39:52 (16:21:28)
|30:39:52 (16:21:28)
|
|-
|-
|Dark major diminished
|Dark major diminished
Line 2,184: Line 2,189:
|[8] major
|[8] major
|3:4:5
|3:4:5
|
|-
|-
| Middle major diminished
| Middle major diminished
Line 2,193: Line 2,197:
|[8] minor major
|[8] minor major
|55:72:90 (16:21:26)
|55:72:90 (16:21:26)
|
|-
|-
| Middle minor diminished
| Middle minor diminished
Line 2,202: Line 2,205:
|[8] major minor
|[8] major minor
|39:50:65
|39:50:65
|
|-
|-
| Bright minor diminished
| Bright minor diminished
Line 2,211: Line 2,213:
|[8] minor
|[8] minor
|12:15:20
|12:15:20
|
|-
|-
| Dark minor diminished
| Dark minor diminished
Line 2,220: Line 2,221:
|[8] minor
|[8] minor
|12:15:20
|12:15:20
|
|}
|}
<nowiki>*</nowiki> Non-bracketed JI ratios are those approximated in 2.3.5.11.13 ptolemismic Porcutone; bracketed JI ratios are the 2.3.7 interval approximated by additionally tempering out 105/104 or 245/243 as in Supermagic temperament.
<nowiki>*</nowiki> Non-bracketed JI ratios are those approximated in 2.3.5.11.13 ptolemismic Porcutone; bracketed JI ratios are the 2.3.7 interval approximated by additionally tempering out 105/104 or 245/243 as in Supermagic temperament.
Retrieved from "https://en.xen.wiki/w/Pinetone"