Relative Definition and 1000 Threads

In music, relative keys are the major and minor scales that have the same key signatures (enharmonically equivalent), meaning that they share all the same notes but are arranged in a different order of whole steps and half steps. A pair of major and minor scales sharing the same key signature are said to be in a relative relationship. The relative minor of a particular major key, or the relative major of a minor key, is the key which has the same key signature but a different tonic. (This is as opposed to parallel minor or major, which shares the same tonic.)
For example, G major and E minor both have a single sharp in their key signature at F♯; therefore, E minor is the relative minor of G major, and conversely G major is the relative major of E minor. The tonic of the relative minor is the sixth scale degree of the major scale, while the tonic of the relative major is the third degree of the minor scale. The minor key starts three semitones below its relative major; for example, A minor is three semitones below its relative, C major.


The relative relationship may be visualized through the circle of fifths.

Relative keys are a type of closely related keys, the keys between which most modulations occur, because they differ by no more than one accidental. Relative keys are the most closely related, as they share exactly the same notes.

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  1. E

    Relative Acceleration - Particle and Wedge

    I would be very grateful for help with deriving the following equation... "A smooth fixed plane is inclined at 30 degrees to the horizontal. A wedge of mass M and angle 30 degrees is held on the surface so that its upper face is horizontal, and a particle of mass m rests on this face. The...
  2. donaldparida

    Magnetic field when relative velocity is zero

    A current carrying conductor produces a magnetic field but what if there is an object which has the same speed as current. Will there be magnetic field by the current carrying conductor for that object?
  3. U

    Relative velocity problem with pulleys

    Homework Statement Homework Equations Vb/a = Vb - Va The Attempt at a Solution I got as far as realizing that the velocity of B depends on A so I wrote out: 2(Xa) + (Xb/a)cos15 = constant and took the derivative of that equation to get Vb/a = -16.56. I then got stuck as to how to get Vb...
  4. R

    B Relative speed between Galaxies

    My question is following: Is there another Galaxy in the Universe that has a relative speed to the Milky Way of 0.999c (near of light speed)? The implication of that is that our life 'observed' by extraterrestrial beings in that Galaxy might be millions of years, an eternity! This is because of...
  5. F

    Angle of twist of a gear relative to another

    Homework Statement why we need to consider 2 moment caused by the 85Nm in this question ? The question ask for the determine the angle of twist of gear A relative to D . Homework EquationsThe Attempt at a Solution Why shouldn't the angle of twist = (85)(0.4) / ( (0.5pi)( 0.015^4-...
  6. G

    Raoult's law, Henry's Law, relative volatility

    Raoult's law: P = xP* , combined with Dalton's law becomes y = xP*/P Henry's law: P = kx, combined with Dalton's law becomes y = kx/P Relative volatility: y = ax/(1 + (a -1)x) Raoult's law and Henry's law are linear when temperature and pressure are kept constant. But if we vary the temperature...
  7. Vanessa Avila

    The ball's maximum speed relative to the vehicle?

    Homework Statement Inside a NASA test vehicle, a 3.50-kg ball is pulled along by a horizontal ideal spring fixed to a friction-free table. The force constant of the spring is 226 N/m . The vehicle has a steady acceleration of 5.00 m/s2, and the ball is not oscillating. Suddenly, when the...
  8. A

    B Are objects moving relative to each other?

    We have 3 clocks A, B and C. They are in a straight line (Time 1). Clock A rotates around it's axis and clocks B and C rotates around clock A at distance L1 and L2 respectively. Distance L2 > L1. Clocks B and C rotates around clock A so they stay in straight line. Clock A rotates around it's...
  9. Erenjaeger

    Understanding the Relativity Equation to Solving Homework Problems

    Homework Statement not sure fully sure on this equation Homework Equations f=fo√(1±v/c)/(1±v/c)[/B]The Attempt at a Solution is it just the relationship between the observed frequency and the proper frequency or something? [/B]
  10. P

    Intro Physics Physics textbook covering relative kinematics/dynamics

    My university's professors have a pathological obsession with non inertial frames of reference which apparently has been going on for decades. As a result we work tons of these problems involving kinematics, dynamics and so on. However, none of the books listed in the bibliography of the course...
  11. D

    Particle collisions - a question on angles relative to beam

    Consider the case in which an incoming particle collides with stationary target particle producing new particles through the interaction. For example, $$e^{-}+e^{+}\rightarrow X+\bar{X}$$ My question is, why in general do the particles produced in such an interaction propagate outwards are...
  12. ChloeYip

    Angle of Rain on Earth: Investigating Relative Velocity

    Homework Statement When a cart travel to the left at v=-10m/s, the angle of rain come towards it is 50o from normal. When the cart travel to the right at v=10m/s, the angle of rain water come is perpendicular to it. What is the angle of rain come to the earth? Homework Equations relative...
  13. E

    How quickly are you moving relative to the ground?

    Homework Statement On a long bus ride, you walk from your seat to the back of the bus to use the restroom. The bus is driving at 120 km/h , and you walk at 2.5 m/s from your seat to the restroom. How quickly are you moving relative to the ground? Homework Equations vpg=vpb+vbg The Attempt at a...
  14. Jonski

    Angular Acceleration and relative velocity

    Homework Statement In the mechanism shown below, the angular velocity of link 2 is 17 rad/s CW, constant. Find the angular velocity (magnitude and direction) of link 3. The distance between A and C is 109 mm, the length of link 3 is 125 mm, and θ= 111°. Note: B is a pin-slider In the...
  15. I

    B Relative Time Effect on Orbital Comm: Satellite Freq & Audio/Video

    Given that the time is relatively slower for a moving object that a stationary object, does the relative difference have an effect on satellite communications? For instance, if a geostationary satellite, which is traveling very fast to appear stationary on Earth (and therefore experiencing a...
  16. gracy

    Relative speed : Two trains crossing each other

    Two trains having lengths of 120 m and 100 m are running in the opposite directions with velocities 40 km/h and 50 km/h . In what time they will completely cross each other? In the solution it's given that Time taken by the two trains to cross each other = sum of length of trains/relative speed...
  17. kidgt23

    Calculating Relative Velocity: Train vs. Car Collision

    Homework Statement A person on a train watches a car approaching a railway crossing ahead on his track. It appears that the car’s driver has fallen asleep and will not slow down. The train is traveling north‐east at 100km/h while the car is going west at 80km/h. The train is 4 km and the car is...
  18. D

    How Is Centrifugal Force Calculated for a Particle in a Rotating Frame?

    Homework Statement A particle of mass ##m## rotates about ##Z-##axis in a circle of radius ##a## with a uniform angular speed ##\omega##. It is viewed from a frame rotating about the ##Z-##axis with a uniform angular speed ##\omega_0##. Find the centrifugal force on the particle. Homework...
  19. Jonski

    What is the solution for relative velocity of sliders?

    Homework Statement Homework Equations [/B] Va = Va/c + Vc Va = 0.2 + Vc Vb = Vd The Attempt at a Solution I began by finding the instant centre of rotations of AB and CD. Both of these form a right angle triangle and the length of A -> ICab = 200mm and C -> ICcd = 300mm Va/0.2 * 0.15 = Vb...
  20. P

    What is the Correct Direction of Hay Bales in a Basic Relative Motion Problem?

    Homework Statement A farmer is throwing bales of hay off the back of his tractor with a speed of 3 m/s relative to the tractor, which is moving west with a speed of 7 m/s. Determine the speed and direction of hay bales relative to the ground. Homework Equations subtract the speeds, since they...
  21. H

    Relative Motion: Calculating the Angle for Accurate Newspaper Delivery

    Homework Statement Homework Statement A newspaper boy throws papers sideways onto the porches of his customers while riding his bicycle along the sidewalk. The sidewalk is 15m in front of the porches. The boy throws the papers at a horizontal speed of 6m/s relative to himself, and rides the...
  22. A

    Relative velocity ship problem intuitively

    Homework Statement Two ships A and B are 4 km apart. A is due west of B. If A moves with uniform velocity of 8 km/hr due east and B moves with a uniform velocity of 6 km/hr due south. Calculate 1) the magnitudeof the velocity of A in relation to B 2) the closest distance apart of A and B...
  23. T

    How Fast is the Airplane Flying Relative to the Air?

    Homework Statement After flying for 15 min in a wind blowing 42 km/h at an angle of 31° south of east, an airplane pilot is over a town that is 50 km due north of the starting point. What is the speed of the airplane relative to the air? Homework Equations Vx of wind=42km/hr*cos(31) Vy of...
  24. K

    Find the initial velocity of the package relative to the ground

    Homework Statement A helicopter is flying in a straight line over a level field at a constant speed of 6.8 m/s and at a constant altitude of 9.4 m. A package is ejected horizontally from the helicopter with an initial velocity of 12.0 m/s relative to the helicopter, and in a direction opposite...
  25. M

    B Exploring the Relativity of Maps and the Universe

    As I understand relativity, length gets contracted when speed raises. Does that imply that the maps we make of the universe actually describes the universe seen from our perspective, and that these maps would have looked different in size for an observer moving at different speed??
  26. Battlemage!

    I Lim f(x)/g(x) as x->∞ and relative growth rate of functions

    Everyone "knows" that \lim_{x\rightarrow ∞}\frac{2^x}{x^2} = ∞. We "know" this because 2x grows faster than x2. I use quotes because this is just what we're told in basic calculus classes. But what about a theorem for this? I've searched through google, looked through various university homework...
  27. K

    Finding Relative Velocity in Inertial Systems

    Homework Statement An event occurs in S at x = 6 x 10^8 meters and S' at x' = 6 x 10^8 meters. Find the relative velocity of the systems. Assume that S refers to an inertial system (x,y,z,t), and S' refers to an inertial system (x',y',z',t') moving along +x axis with speed v relative to S. The...
  28. RoboNerd

    Determining relative amounts of work done

    Homework Statement Homework Equations Work = - (integral of) (E dot dl) The Attempt at a Solution Hi, I know that the right answer is D zero, but I fail to understand why. I said that the answer was A as I have different charges, and I thought that depending on how I approach each...
  29. nysnacc

    Understanding Relative Motion in Circular Motion

    Homework Statement Homework Equations a= omega^2*r The Attempt at a Solution a_A/B = a_A - a_B a_A = 10^2*r (-î) a_B = 10^2*r (+ĵ) a_A/B = 10^2*r (-î) - 10^2*r (+ĵ) => -200 î -200 ĵ why is the answer 200 î -200 ĵ (accelerate in +î direction) ?
  30. nysnacc

    Calculating Sailboat Relative Motion with Equations and Conversions

    Homework Statement Homework Equations v_theta = r * theta_dot 1 knot = 1852 m The Attempt at a Solution v_0 = 6 * (1852m/h) * (1/3600 h/s) = 3.087 m/s
  31. K

    Relative uncertainty (negative exponent)

    Homework Statement A distance R is measured to be 3.400±0.003m. What is the relative uncertainty in R? 9×10-4 What is the relative uncertainty in R^-2? Homework EquationsThe Attempt at a Solution Relative uncertainty of R is 0.003/3.4=8.8e-4 Relative uncertainty of R^-2= -2(8.8e-4)=-1.76e-3...
  32. R

    How would i find the velocity of the ship relative to earth?

    Homework Statement A ship sets sail from Rotterdam, The Netherlands, heading due north at 7.00 m/s relative to the water. The local ocean current is 1.50 m/s in a direction 40.0º north of east. What is the velocity of the ship relative to the Earth? Homework Equations Vr=Vs-Vc r=relative...
  33. J

    Homework Help -- Relative Velocity

    <Moderator note: moved from technical forums, so no template> Problem: Two trains (A and B) are moving along parallel tracks at different speeds. A person sitting on train A looks out the window and sees two things happen: a firecracker explodes right outside his window, and, exactly 1.0...
  34. mastrofoffi

    How does Newton's 3rd law apply in solving relative acceleration?

    Ok so I have this problem which I wasn't really sure how to approach; when I looked at the results I understood that it needed Newton's 3rd law to be solved and I sort of made it up, but I don't understand why it turns out to be correct(i only have the results, no explanation) and I feel like...
  35. Hercuflea

    Moving point and it's distance relative to a fixed point

    Not sure whether this is an intro physics or intro calculus/related rates problem. 1. Homework Statement Suppose a point P lies at (x,y)=(0,1) meters. A car is traveling at 30 meters/second along the x-axis towards +∞. Define r to be the distance between P and the car at any time t. I...
  36. F

    Question about LEDs relative to voltage

    Back story : I have cheap 12v LED 5050 strip from China. Question: how do LEDs respond to 13v and 14v in terms of % intensity with higher voltage neglecting lifespan and assuming proper heat dissipation. Details: the LEDs at 60/m rated 14.6w at 12v. They are typically 3led in series with a...
  37. D

    I Relative Velocity Time Dilation: Experiments Disproving Theory?

    I have a question regarding time dilation due to relative velocity. (It's just about time dilation due to velocity not about gravitational effects.) I have seen a theory where time dilation is not relative, but always considered against an absolute frame of reference. The absolute frame of...
  38. MickeyBlue

    Relative velocity of a ball on a train

    Homework Statement A train is traveling east along a straight run of track at 72.0 km/hr. Inside, two siblings 1.9 m apart are playing catch directly across the aisle. The kid wearing a P.J.Harvey T-shirt throws the ball horizontally north. The ball crosses the train and is caught 0.75 s later...
  39. D

    Do the Relative Permittivity and Refractive Index of Water Match Up?

    Many textbooks and online sources give the relative permittivity of water as about 80 and the refractive index as 1.33. If you use the definition of refractive index to find the speed of light in water, you will find v = c/n ~ 2.56e8 m/s. However, if you use the equation to find the speed of...
  40. B

    MHB Probability Activity Word problem for relative frequency

    I am drowning in math right now and would love some help bc I am horrible at math. Here is what I have got. Question: 1. The four major blood groups are designated A, B, AB and O. Within each group there are two types; positive and negative. Find data on the relative frequency of these eight...
  41. Aashish Bharat

    Relative velocity of 2 vehicles

    Two vehicles leave simultaneously from a fork in a road. Vehicle A travels at a velocity of 85 km/h north-east. Vehicle B travels at 104 km/h directly east. Calculate the velocity of vehicle A relative to the velocity of vehicle B. Answer (from memorandum): http://imgur.com/a/L0prH I do not...
  42. O

    Finding relative error for radial acceleration

    Homework Statement I'm trying to find da/a to calculate the relative possible error in the radial acceleration. The equation I have to derive from is a = 4π²n²rt ⁻² (it cannot be a = v²/r). I'm not really sure how to find da since it has 3 variables? Homework Equations a = 4π²n²rt ⁻² da/a =...
  43. S

    Doppler effect with moving medium but no relative motion

    I would like to be sure about one case of the use of Doppler effect with sound waves. If the medium (in the case of sound air) is moving, but there is no relative motion between the observer and the source there is no Doppler effect at all. (And the absence of relative motion is...
  44. A

    Position of a coil relative to the magnetic flux

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  45. victorhugo

    I Hyperfine splitting and relative intensity of spectral lines

    What is the cause of hyperfine line splitting? I saw somewhere that it was because of spin quantum number and somewhere else that it was because of how electrons interact in the atom. And relative intensity of spectral lines? I'd assume it's due to the probability of electron jumps being more...
  46. kipup123

    Relative Velocity (Man walking in rain question)

    Homework Statement A stationary person observes that rain is falling vertically down at 30km/hr. A cyclist is moving on the level road, at 10km/hr. In which direction the cyclist should hold his umbrella to prevent himself from the rain? 2. The attempt at a solution I used triangle law to...
  47. Xico Sim

    I Relative Mean lifetime of decays

    Hi there. I want to compare the mean lifetimes of two particles which decay in a way given by two known reaction formulas, such as ##\rho^0 \rightarrow \pi^+ + \pi^-## and ##\Xi^- \rightarrow \Lambda^0 + \pi^-## In this case it's easy: since the first one corresponds to a first interaction...
  48. B

    Which Direction Should a Swimmer Head to Counteract a River Current?

    Homework Statement A person decides to swim across a river 84m wide that has a current moving with a velocity of 0.40m/s[E]. The person swims 0.70m/s[N] relative to the water. In what direction should she swim if she lands at a point directly north of her starting position? Note: This is part...
  49. A

    I Galilean Relativity: Can Experiments Tell Motion Relative to Other Frames?

    In Galilean Relativity, laws of mechanics are invariant across frames. In all the frames they are the same. So, in Dynamics and Relativity by W.D.McComb, it is written that this implies you cannot perform any experiment in an inertial frame that can tell whether an inertial frame is moving or...
  50. K

    MHB Derivatives and relative max's and min's

    f(x)=x^3-12x^2+15x+16 Use the first derivative to find relative maximums, minimums, or neither. I am trying to find x to plug it back into f(x) to get my y value, but I am not sure if I am getting the correct x value. I did the first derivative and got 3x^2-24x+15. I then set it equal to 0 and...
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