11edo: Difference between revisions

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Compared to 12edo, the intervals of 11edo are stretched:

<ul><li>The "minor second," at 109.09 cents, functions melodically and harmonically very much like the 100-cent minor second of 12edo.</li><li>The "major second," at 218.18 cents, works in a similar fashion to the 200-cent major second of 12edo, but as a major ninth, it may sound less harmonious. Its inversion, at 981.82 cents, can function as a "bluesy" seventh relative to 12edo's 1000-cent interval, although it is still about 13 cents away from 7/4.</li><li>The "minor third," at 327.27 cents, is rather sharp and encroaching upon "neutral third."</li><li>The "major third," at 436.36 cents, is quite sharp, and closer to the supermajor third of frequency ratio 9/7 than the simpler third of 5/4.</li><li>The "perfect fourth," at 545.45 cents, does not sound like a perfect fourth at all, and passes more easily as the 11/8 superfourth than the simpler perfect fourth of 4/3.</li></ul>

<ul><li>The "minor second," at 109.09 cents, functions melodically and harmonically very much like the 100-cent minor second of 12edo.</li><li>The "major second," at 218.18 cents, works in a similar fashion to the 200-cent major second of 12edo, but as a major ninth, it may sound less harmonious. Its inversion, at 981.82 cents, can function as a "bluesy" seventh relative to 12edo's 1000-cent interval, although it is still about 13 cents away from 7/4.</li><li>The "minor third," at 327.27 cents, is rather sharp and encroaching upon "neutral third."</li><li>The "major third," at 436.36 cents, is quite sharp, and closer to the supermajor third of frequency ratio 9/7 than the simpler third of 5/4.</li><li>The "perfect fourth," at 545.455 cents, does not sound like a perfect fourth at all, and passes more easily as the 11/8 superfourth than the simpler perfect fourth of 4/3.</li></ul>

=Subgroup=

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!7mus

|-

~~| style="text-align:center;" | 0~~

| colspan="4" style="text-align:center;" | 0

| colspan="3" style="text-align:~~right~~;" | 0.00

| style="text-align:center;" | '''do'''

| style="text-align:center;" | 1/1

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Line 186:

| style="text-align:right;" | 327.27

|346.91

|418.91 (1A2.E916)

|418.91 (1A2.E8816)

| style="text-align:center;" | '''me'''

| style="text-align:center;" | [[6/5|6/5]], [[11/9|11/9]], [[17/14|17/14]]

Line 252:

Line 251:

| style="text-align:right;" | 872.73

|925.09

|1117.09 (45D.1716)

|1117.09 (45D.17816)

| style="text-align:center;" | '''la'''

| style="text-align:center;" | [[5/3|5/3]], [[18/11|18/11]], [[28/17|28/17]]

@@ Line 14: / Line 14: @@
 Compared to 12edo, the intervals of 11edo are stretched:
-<ul><li>The "minor second," at 109.09 cents, functions melodically and harmonically very much like the 100-cent minor second of 12edo.</li><li>The "major second," at 218.18 cents, works in a similar fashion to the 200-cent major second of 12edo, but as a major ninth, it may sound less harmonious. Its inversion, at 981.82 cents, can function as a "bluesy" seventh relative to 12edo's 1000-cent interval, although it is still about 13 cents away from 7/4.</li><li>The "minor third," at 327.27 cents, is rather sharp and encroaching upon "neutral third."</li><li>The "major third," at 436.36 cents, is quite sharp, and closer to the supermajor third of frequency ratio 9/7 than the simpler third of 5/4.</li><li>The "perfect fourth," at 545.45 cents, does not sound like a perfect fourth at all, and passes more easily as the 11/8 superfourth than the simpler perfect fourth of 4/3.</li></ul>
+<ul><li>The "minor second," at 109.09 cents, functions melodically and harmonically very much like the 100-cent minor second of 12edo.</li><li>The "major second," at 218.18 cents, works in a similar fashion to the 200-cent major second of 12edo, but as a major ninth, it may sound less harmonious. Its inversion, at 981.82 cents, can function as a "bluesy" seventh relative to 12edo's 1000-cent interval, although it is still about 13 cents away from 7/4.</li><li>The "minor third," at 327.27 cents, is rather sharp and encroaching upon "neutral third."</li><li>The "major third," at 436.36 cents, is quite sharp, and closer to the supermajor third of frequency ratio 9/7 than the simpler third of 5/4.</li><li>The "perfect fourth," at 545.455 cents, does not sound like a perfect fourth at all, and passes more easily as the 11/8 superfourth than the simpler perfect fourth of 4/3.</li></ul>
 =Subgroup=
@@ Line 147: / Line 147: @@
 !7mus
 |-
-| style="text-align:center;" | 0
+| colspan="4" style="text-align:center;" | 0
-| colspan="3" style="text-align:right;" | 0.00
 | style="text-align:center;" | '''do'''
 | style="text-align:center;" | 1/1
@@ Line 187: / Line 186: @@
 | style="text-align:right;" | 327.27
 |346.91
-|418.91 (1A2.E9<sub>16</sub>)
+|418.91 (1A2.E88<sub>16</sub>)
 | style="text-align:center;" | '''me'''
 | style="text-align:center;" | [[6/5|6/5]], [[11/9|11/9]], [[17/14|17/14]]
@@ Line 252: / Line 251: @@
 | style="text-align:right;" | 872.73
 |925.09
-|1117.09 (45D.17<sub>16</sub>)
+|1117.09 (45D.178<sub>16</sub>)
 | style="text-align:center;" | '''la'''
 | style="text-align:center;" | [[5/3|5/3]], [[18/11|18/11]], [[28/17|28/17]]