Basic Intervals – श्रुतयः | |||||||||||||||
Note | № | Name | Interval | Ratio Tuning Melodic Function |
C₁ | C₂ | ₵ Pitch Bend |
Δ | Inversion | ||||||
№ | Name | ||||||||||||||
C | 1 | क्षोभिनि kṣobhini |
P1 C♮ |
S sa |
¹⁄₁ | ⁰⁄₁ | ¹⁄₁ | 0.00 | ±0 | 23 | क्षोभिनि kṣobhini |
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C♯ D♭ |
i₁ | b2⁻ | ²⁵⁄₂₄ (M3)²÷(P5) ▴M2⁻=(¹⁰⁄₉)÷(¹⁶⁄₁₅) |
(⁴⁄₃)÷2⁵ | (¹³⁄₁₂)÷2¹ | 70.67 | -1201 | ²⁵⁄₂₄ | 70.67 | i₇ | |||||
2 | तीव्रा tīvrā |
a1 C♯ |
¹³⁵⁄₁₂₈ (P5)×(M3)÷(P4)² ▴M2⁺=(⁹⁄₈)÷(¹⁶⁄₁₅) |
(⁷⁄₄)÷2⁵ | (¹²¹⁄₆₄)÷2¹ | 92.18 | -320 | ⁸¹⁄₈₀ | 21.51 | 22 | उग्रा ugrā |
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3 | कुम्दवती kumdavatī |
b2⁺ D♭ |
R₁ ra |
¹⁶⁄₁₅ (P4)÷(M3) ▾P1=(¹⁄₁)×(¹⁶⁄₁₅) |
(¹⁶⁄₁₅)÷2⁴ | (²⁸⁄₁₅)÷2¹ | 111.73 | +480 | ²⁰⁴⁸⁄₂₀₂₅ | 19.55 | 21 | रम्या ramyā |
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D | 4 | मन्दा mandā |
M2⁻ | R₂ ri |
¹⁰⁄₉ (P4)×(M3)÷(P5) |
(¹⁶⁄₉)÷2⁴ | (¹⁶⁄₉)÷2¹ | 182.40 | -721 | ²⁵⁄₂₄ | 70.67 | 20 | रोहिणी rohiṇī |
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5 | छन्दोवती chandovatī |
M2⁺ D♮ |
G₁ ga |
⁹⁄₈ (P5)÷(P4) ▴b3=(⁶⁄₅)÷(¹⁶⁄₁₅) |
(¹⁄₁)÷2³ | (⁷⁄₄)÷2¹ | 203.91 | +160 | ⁸¹⁄₈₀ | 21.51 | 19 | मदन्ती mandantī |
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D♯ E♭ |
i₂ | a2 D♯ |
⁷⁵⁄₆₄ (M3)²÷(P4) ▴M3=(⁵⁄₄)÷(¹⁶⁄₁₅) |
(¹¹⁄₈)÷2³ | (⁵³⁄₃₂)÷2¹ | 274.58 | -1041 | ²⁵⁄₂₄ | 70.67 | i₆ | |||||
6 | दयावती dayāvatī |
R₃ ru |
³²⁄₂₇ (P4)²÷(P5) |
(⁴⁰⁄₂₇)÷2³ | (⁴⁴⁄₂₇)÷2¹ | 294.13 | -240 | ²⁰⁴⁸⁄₂₀₂₅ | 19.55 | 18 | आलापिनी ālāpinī |
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7 | रन्जनी ranjanī |
b3 E♭ |
G₂ gi |
⁶⁄₅ (P5)÷(M3) ▾M2⁺=(⁹⁄₈)×(¹⁶⁄₁₅) |
(⁸⁄₅)÷2³ | (⁸⁄₅)÷2¹ | 315.64 | +641 | ⁸¹⁄₈₀ | 21.51 | 17 | सन्दीपनी sandīpanī |
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E | 8 | रक्तिका raktikā |
M3 E♮ |
G₃ gu |
⁵⁄₄ (M3) ▴P4=(⁴⁄₃)÷(¹⁶⁄₁₅) |
(¹⁄₁)÷2² | (³⁄₂)÷2¹ | 386.31 | -561 | ²⁵⁄₂₄ | 70.67 | 16 | रक्ता raktā |
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9 | रौद्री raudrī |
⁸¹⁄₆₄ (P5)²÷(P4)² |
(¹⁷⁄₁₆)÷2² | (⁴⁷⁄₃₂)÷2¹ | 407.82 | +320 | ⁸¹⁄₈₀ | 21.51 | 15 | क्षिति kṣiti |
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i₃ | d4 F♭ |
³²⁄₂₅ (P8)÷(M3)² ▾b3=(⁶⁄₅)×(¹⁶⁄₁₅) |
(²⁸⁄₂₅)÷2³ | (³⁶⁄₂₅)÷2¹ | 427.37 | +1121 | ²⁰⁴⁸⁄₂₀₂₅ | 19.55 | i₅ | ||||||
F | 10 | क्रोधा krodhā |
P4 F♮ |
M₁ ma |
⁴⁄₃ (P4) ▾M3=(⁵⁄₄)×(¹⁶⁄₁₅) |
(⁴⁄₃)÷2² | (⁴⁄₃)÷2¹ | 498.04 | -80 | ²⁵⁄₂₄ | 70.67 | 14 | मार्जनि mārjani |
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11 | वज्रिका vajrikā |
²⁷⁄₂₀ (P5)²÷(P4)÷(M3) |
(⁷⁄₅)÷2² | (¹³⁄₁₀)÷2¹ | 519.55 | +801 | ⁸¹⁄₈₀ | 21.51 | 13 | प्रीति prīti |
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F♯ G♭ |
12 | प्रसारिणी prasāriṇī |
a4 F♯ |
M₂ mi |
⁴⁵⁄₃₂ (P5)×(M3)÷(P4) ▴P5=(³⁄₂)÷(¹⁶⁄₁₅) |
(¹³⁄₈)÷2² | (¹⁹⁄₁₆)÷2¹ | 590.22 | -401 | ²⁵⁄₂₄ | 70.67 | i₄ | |||
i₄ | d5 G♭ |
⁶⁴⁄₄₅ (P4)²÷(M3) ▾P4=(⁴⁄₃)×(¹⁶⁄₁₅) |
(⁷⁶⁄₄₅)÷2² | (⁵²⁄₄₅)÷2¹ | 609.78 | +401 | ²⁰⁴⁸⁄₂₀₂₅ | 19.55 | 12 | प्रसारिणी prasāriṇī |
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G | 13 | प्रीति prīti |
⁴⁰⁄₂₇ (P4)²×(M3)÷(P5) |
(⁵²⁄₂₇)÷2² | (²⁸⁄₂₇)÷2¹ | 680.45 | -801 | ²⁵⁄₂₄ | 70.67 | 11 | वज्रिका vajrikā |
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14 | मार्जनि mārjani |
P5 G♮ |
P pa |
³⁄₂ (P5) ▴b6=(⁸⁄₅)÷(¹⁶⁄₁₅) |
(¹⁄₁)÷2¹ | (¹⁄₁)÷2¹ | 701.96 | +80 | ⁸¹⁄₈₀ | 21.51 | 10 | क्रोधा krodhā |
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G♯ A♭ |
i₅ | a5 G♯ |
²⁵⁄₁₆ (M3)² ▴M6=(⁵⁄₃)÷(¹⁶⁄₁₅) |
(⁹⁄₈)÷2¹ | (⁷⁄₄)÷2² | 772.63 | -1121 | ²⁵⁄₂₄ | 70.67 | i₃ | |||||
15 | क्षिति kṣiti |
¹²⁸⁄₈₁ (P4)³÷(P5) |
(⁹⁴⁄₈₁)÷2¹ | (¹³⁶⁄₈₁)÷2² | 792.18 | -320 | ²⁰⁴⁸⁄₂₀₂₅ | 19.55 | 9 | रौद्री raudrī |
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16 | रक्ता raktā |
b6 A♭ |
D₁ dha |
⁸⁄₅ (P5)×(P4)÷(M3) ▾P5=(³/₂)×(¹⁶/₁₅) |
(⁶⁄₅)÷2¹ | (⁸⁄₅)÷2² | 813.69 | +561 | ⁸¹⁄₈₀ | 21.51 | 8 | रक्तिका raktikā |
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A | 17 | सन्दीपनी sandīpanī |
M6 A♮ |
D₂ dhi |
⁵⁄₃ (P4)×(M3) |
(⁴⁄₃)÷2¹ | (⁴⁄₃)÷2² | 884.36 | -641 | ²⁵⁄₂₄ | 70.67 | 7 | रन्जनी ranjanī |
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18 | आलापिनी ālāpinī |
N₁ na |
²⁷⁄₁₆ (P5)²÷(P4) |
(¹¹⁄₈)÷2¹ | (⁵⁄₄)÷2² | 905.87 | +240 | ⁸¹⁄₈₀ | 21.51 | 6 | दयावती dayāvatī |
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i₆ | d7 B♭♭ |
¹²⁸⁄₇₅ (P8)×(P4)÷(M3)² ▾b6=(⁸⁄₅)×(¹⁶⁄₁₅) |
(¹⁰⁶⁄₇₅)÷2¹ | (⁸⁸⁄₇₅)÷2² | 925.42 | +1041 | ²⁰⁴⁸⁄₂₀₂₅ | 19.55 | i₂ | ||||||
A♯ B♭ |
19 | मदन्ती madantī |
b7⁻ B♭ |
D₃ dhu |
¹⁶⁄₉ (P4)² ▾M6=(⁵⁄₃)×(¹⁶⁄₁₅) |
(¹⁴⁄₉)÷2¹ | (¹⁶⁄₉)÷2³ | 996.09 | -160 | ²⁵⁄₂₄ | 70.67 | 5 | छन्दोवती chandovatī |
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20 | रोहिणी rohiṇī |
b7⁺ | N₂ ni |
⁹⁄₅ (P5)²÷(M3) |
(⁸⁄₅)÷2¹ | (⁸⁄₅)÷2³ | 1017.60 | +721 | ⁸¹⁄₈₀ | 21.51 | 4 | मन्दा mandā |
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B | 21 | रम्या ramyā |
M7⁻ B♮ |
N₃ nu |
¹⁵⁄₈ (P5)×(M3) ▴P8=(²⁄₁)÷(¹⁶⁄₁₅) |
(⁷⁄₄)÷2¹ | (¹⁄₁)÷2³ | 1088.27 | -480 | ²⁵⁄₂₄ | 70.67 | 3 | कुम्दवती | ||
22 | उग्रा ugrā |
d8 C♭ |
²⁵⁶⁄₁₃₅ (P4)³÷(M3) |
(²⁴²⁄₁₃₅)÷2¹ | (²²⁴⁄₁₃₅)÷2⁴ | 1107.82 | +320 | ²⁰⁴⁸⁄₂₀₂₅ | 19.55 | 2 | तीव्रा tīvrā |
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i₇ | M7⁺ | ⁴⁸⁄₂₅ (P8)×(P5)÷(M3)² ▾b7⁺=(⁹⁄₅)×(¹⁶⁄₁₅) |
(⁴⁶⁄₂₅)÷2¹ | (³²⁄₂₅)÷2⁴ | 1129.33 | +1201 | ⁸¹⁄₈₀ | 21.51 | i₁ | ||||||
C | 23 | क्षोभिनि kṣobhini |
P8 C♮ |
Sa sa |
²⁄₁ | ¹⁄₁ | ⁰⁄₁ | 1200.00 | ±0 | ²⁵⁄₂₄ | 70.67 | 1 | क्षोभिनि kṣobhini |
Please Note:
This chart is based on a lecture (de) given by Gerd Hegendörfer at the event of „Arbeitskreis Harmonik” at the „Freies Musikzentrum München”. For symmetry reasons,
he introduced seven „new” śrutayaḥ, named here by latin small letter i with index. The tuning instruction is based on a lecture (de) given by Friedrich Glorian ibidem.
Bug-Reports, comments and suggestions are very welcome to me.
Version: 1.2 (2014-07-27)