Syntonic–Archytas equivalence continuum: Difference between revisions

The '''syntonic–Archytas equivalence continuum''' is a continuum of 7-limit rank-3 temperament families which equate a number of [[81/80|syntonic commas (81/80)]] with an [[64/63|Archytas comma (64/63)]]. This continuum is theoretically interesting in that these are all 7-limit rank-3 temperament families supported by [[Meantone family#Dominant|dominant]] temperament.

| [[Mint]]

| [[36/35]]

|-

| 0

| [[Archytas]]

| [[64/63]]

|-

| 1/2

| 63 & 68 & 80

| [[327680/321489]]

|-

| 1

| [[5120/5103]]

|-

| 5/4

| 894 & 441 & 1106

|  

|-

| 19/15

| 118 & 125 & 130

| [[2109289329/2097152000]]

|-

| 2

| 72 & 77 & 79

| [[413343/409600]]

|-

| ∞

| [[81/80]]

|}

[[Category:Equivalence continua]]