Lemba: Difference between revisions

Flirora (talk | contribs)
add interval chain
Interval chain: Cut off at +8 gens; improve wording; +more ratios; bold primes
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== Interval chain ==
== Interval chain ==
{| class="wikitable center-all right-2 right-4"
In the following table, prime harmonics are in '''bold'''.
 
{| class="wikitable center-1 right-2 right-4"
! rowspan="2" | # gens
! rowspan="2" | # gens
! colspan="2" | + 0 periods
! colspan="2" | Period 0
! colspan="2" | + 1 period
! colspan="2" | Period 1
|-
|-
! Cents*
! Cents*
Line 20: Line 22:
| 1
| 1
| 230.966
| 230.966
| 8/7
| '''8/7'''
| 830.966
| 830.966
| 13/8, 8/5
| '''8/5''', '''13/8'''
|-
|-
| 2
| 2
Line 28: Line 30:
| 21/16
| 21/16
| 1061.932
| 1061.932
| 24/13, 15/8
| 11/6, 15/8, 24/13
|-
|-
| 3
| 3
| 692.898
| 692.898
| 3/2
| '''3/2'''
| 92.898
| 92.898
| 15/14
| 15/14
Line 44: Line 46:
| 5
| 5
| 1154.830
| 1154.830
| 63/32
| 48/25, 63/32, 96/48
| 554.830
| 554.830
| 11/8
| '''11/8'''
|-
|-
| 6
| 6
Line 62: Line 64:
| 8
| 8
| 647.728
| 647.728
|  
| 36/25
| 47.728
| 47.728
| 33/32, 36/35
| 33/32, 36/35
|-
| 9
| 878.694
| 27/16
| 278.694
|
|-
| 10
| 1109.660
|
| 509.660
|
|-
| 11
| 140.626
|
| 740.626
|
|-
| 12
| 371.592
|
| 971.592
|
|}
|}
<nowiki>*</nowiki> In 2.3.5.7.11.13 POTE tuning
<nowiki>*</nowiki> In 13-limit POTE tuning


== Spectrum of lemba tunings by eigenmonzos ==
== Spectrum of lemba tunings by eigenmonzos ==