10edt: Difference between revisions

10edt has very accurate 5-limit harmony for such a small number of steps per tritave, most notably the [[5/4]] inherited from 5edt. 10edt introduces some new harmonic properties though — such as the 571 cent tritone, which can function as [[7/5]]. We can use this to readily construct chords such as 4:5:7:12, although the [[7/4]], being 18 cents flat, does considerable damage to the consonance of this chord.  

10edt also splits the major third in half, categorizing this tuning as a fringe variety of "meantone" temperament.

One step of 10edt can serve as the generator for [[pocus]] temperament, a [[Temperament merging|merge]] of [[sensamagic]] and 2.3.5.7.13 [[catakleismic]], which tempers out [[169/168]], [[225/224]], and [[245/243]] in the 2.3.5.7.13 subgroup.

{{Harmonics in equal|10|3|1}}

{{Harmonics in equal|10|3|1|intervals=prime}}

=== Interval table ===

{| class="wikitable"

| [[Cent]]s

| [[Hekt]]s

| Approximate Ratios

! colspan="3" | 0

| <span style="color: #660000;">[[1/1]]</span>

| 190.196

| 380.391

| <span style="color: #660000;">[[5/4]]</span>

| 570.587

| 760.782

| <span style="color: #660000;">[[14/9]]</span>

| 950.978

| 45/26, [[26/15]]

| 1141.173

| <span style="color: #660000;">[[27/14]]</span>

| 1331.369

| [[15/7]] ([[15/14]] plus an octave)

| 1521.564

| [[12/5]] (<span style="color: #660000;">[[6/5]]</span> plus an octave)

| 1711.760

| 1901.955